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Finding the Third Proportional to 128,122.88 and 187,246.13

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Solution

The third proportional to 128,122.88 and 187,246.13 is: 273,652.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,122.88 : 187,246.13 = 187,246.13 : x
  2. Step 2: Convert to fraction form
    128,122.88/187,246.13 = 187,246.13/x
  3. Step 3: Cross multiply
    128,122.88x = 187,246.13 × 187,246.13
  4. Step 4: Simplify right side
    128,122.88x = 35,061,111,327.52
  5. Step 5: Solve for x
    x = 35,061,111,327.52/128,122.88
  6. Step 6: Final answer
    x = 273,652.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.