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Finding the Third Proportional to 136,225.13 and 187,000.13

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Solution

The third proportional to 136,225.13 and 187,000.13 is: 256,700.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,225.13 : 187,000.13 = 187,000.13 : x
  2. Step 2: Convert to fraction form
    136,225.13/187,000.13 = 187,000.13/x
  3. Step 3: Cross multiply
    136,225.13x = 187,000.13 × 187,000.13
  4. Step 4: Simplify right side
    136,225.13x = 34,969,046,750.02
  5. Step 5: Solve for x
    x = 34,969,046,750.02/136,225.13
  6. Step 6: Final answer
    x = 256,700.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.