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Finding the Third Proportional to 63,711 and 138,498

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Solution

The third proportional to 63,711 and 138,498 is: 301,073.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,711 : 138,498 = 138,498 : x
  2. Step 2: Convert to fraction form
    63,711/138,498 = 138,498/x
  3. Step 3: Cross multiply
    63,711x = 138,498 × 138,498
  4. Step 4: Simplify right side
    63,711x = 19,181,696,004
  5. Step 5: Solve for x
    x = 19,181,696,004/63,711
  6. Step 6: Final answer
    x = 301,073.54

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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.