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Finding the Third Proportional to 89,606 and 125,591

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Solution

The third proportional to 89,606 and 125,591 is: 176,027.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,606 : 125,591 = 125,591 : x
  2. Step 2: Convert to fraction form
    89,606/125,591 = 125,591/x
  3. Step 3: Cross multiply
    89,606x = 125,591 × 125,591
  4. Step 4: Simplify right side
    89,606x = 15,773,099,281
  5. Step 5: Solve for x
    x = 15,773,099,281/89,606
  6. Step 6: Final answer
    x = 176,027.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.