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Finding the Third Proportional to 57,688 and 87,720

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Solution

The third proportional to 57,688 and 87,720 is: 133,386.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,688 : 87,720 = 87,720 : x
  2. Step 2: Convert to fraction form
    57,688/87,720 = 87,720/x
  3. Step 3: Cross multiply
    57,688x = 87,720 × 87,720
  4. Step 4: Simplify right side
    57,688x = 7,694,798,400
  5. Step 5: Solve for x
    x = 7,694,798,400/57,688
  6. Step 6: Final answer
    x = 133,386.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.