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Finding the Third Proportional to 59,098 and 136,675

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Solution

The third proportional to 59,098 and 136,675 is: 316,086.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,098 : 136,675 = 136,675 : x
  2. Step 2: Convert to fraction form
    59,098/136,675 = 136,675/x
  3. Step 3: Cross multiply
    59,098x = 136,675 × 136,675
  4. Step 4: Simplify right side
    59,098x = 18,680,055,625
  5. Step 5: Solve for x
    x = 18,680,055,625/59,098
  6. Step 6: Final answer
    x = 316,086.09

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.