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Finding the Third Proportional to 42,540 and 93,531

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Solution

The third proportional to 42,540 and 93,531 is: 205,642.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,540 : 93,531 = 93,531 : x
  2. Step 2: Convert to fraction form
    42,540/93,531 = 93,531/x
  3. Step 3: Cross multiply
    42,540x = 93,531 × 93,531
  4. Step 4: Simplify right side
    42,540x = 8,748,047,961
  5. Step 5: Solve for x
    x = 8,748,047,961/42,540
  6. Step 6: Final answer
    x = 205,642.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.