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Finding the Third Proportional to 63,172 and 135,098

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Solution

The third proportional to 63,172 and 135,098 is: 288,917.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,172 : 135,098 = 135,098 : x
  2. Step 2: Convert to fraction form
    63,172/135,098 = 135,098/x
  3. Step 3: Cross multiply
    63,172x = 135,098 × 135,098
  4. Step 4: Simplify right side
    63,172x = 18,251,469,604
  5. Step 5: Solve for x
    x = 18,251,469,604/63,172
  6. Step 6: Final answer
    x = 288,917.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.