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Finding the Third Proportional to 29,098 and 63,716

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Solution

The third proportional to 29,098 and 63,716 is: 139,519.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,098 : 63,716 = 63,716 : x
  2. Step 2: Convert to fraction form
    29,098/63,716 = 63,716/x
  3. Step 3: Cross multiply
    29,098x = 63,716 × 63,716
  4. Step 4: Simplify right side
    29,098x = 4,059,728,656
  5. Step 5: Solve for x
    x = 4,059,728,656/29,098
  6. Step 6: Final answer
    x = 139,519.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.