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Finding the Third Proportional to 63,892 and 96,730

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Solution

The third proportional to 63,892 and 96,730 is: 146,445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,892 : 96,730 = 96,730 : x
  2. Step 2: Convert to fraction form
    63,892/96,730 = 96,730/x
  3. Step 3: Cross multiply
    63,892x = 96,730 × 96,730
  4. Step 4: Simplify right side
    63,892x = 9,356,692,900
  5. Step 5: Solve for x
    x = 9,356,692,900/63,892
  6. Step 6: Final answer
    x = 146,445.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.