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Finding the Third Proportional to 40,414 and 63,959

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Solution

The third proportional to 40,414 and 63,959 is: 101,221.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,414 : 63,959 = 63,959 : x
  2. Step 2: Convert to fraction form
    40,414/63,959 = 63,959/x
  3. Step 3: Cross multiply
    40,414x = 63,959 × 63,959
  4. Step 4: Simplify right side
    40,414x = 4,090,753,681
  5. Step 5: Solve for x
    x = 4,090,753,681/40,414
  6. Step 6: Final answer
    x = 101,221.20

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.