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Finding the Third Proportional to 63,729 and 101,246

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Solution

The third proportional to 63,729 and 101,246 is: 160,849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,729 : 101,246 = 101,246 : x
  2. Step 2: Convert to fraction form
    63,729/101,246 = 101,246/x
  3. Step 3: Cross multiply
    63,729x = 101,246 × 101,246
  4. Step 4: Simplify right side
    63,729x = 10,250,752,516
  5. Step 5: Solve for x
    x = 10,250,752,516/63,729
  6. Step 6: Final answer
    x = 160,849.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.