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Finding the Third Proportional to 62,385.38 and 135,280.13

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Solution

The third proportional to 62,385.38 and 135,280.13 is: 293,349.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,385.38 : 135,280.13 = 135,280.13 : x
  2. Step 2: Convert to fraction form
    62,385.38/135,280.13 = 135,280.13/x
  3. Step 3: Cross multiply
    62,385.38x = 135,280.13 × 135,280.13
  4. Step 4: Simplify right side
    62,385.38x = 18,300,712,220.02
  5. Step 5: Solve for x
    x = 18,300,712,220.02/62,385.38
  6. Step 6: Final answer
    x = 293,349.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.