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Finding the Third Proportional to 63,892 and 138,934

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Solution

The third proportional to 63,892 and 138,934 is: 302,113.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,892 : 138,934 = 138,934 : x
  2. Step 2: Convert to fraction form
    63,892/138,934 = 138,934/x
  3. Step 3: Cross multiply
    63,892x = 138,934 × 138,934
  4. Step 4: Simplify right side
    63,892x = 19,302,656,356
  5. Step 5: Solve for x
    x = 19,302,656,356/63,892
  6. Step 6: Final answer
    x = 302,113.82

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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.