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Finding the Third Proportional to 60,000.75 and 127,380.09

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Solution

The third proportional to 60,000.75 and 127,380.09 is: 270,424.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,000.75 : 127,380.09 = 127,380.09 : x
  2. Step 2: Convert to fraction form
    60,000.75/127,380.09 = 127,380.09/x
  3. Step 3: Cross multiply
    60,000.75x = 127,380.09 × 127,380.09
  4. Step 4: Simplify right side
    60,000.75x = 16,225,688,283.76
  5. Step 5: Solve for x
    x = 16,225,688,283.76/60,000.75
  6. Step 6: Final answer
    x = 270,424.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.