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Finding the Third Proportional to 89,662 and 125,660

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Solution

The third proportional to 89,662 and 125,660 is: 176,110.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,662 : 125,660 = 125,660 : x
  2. Step 2: Convert to fraction form
    89,662/125,660 = 125,660/x
  3. Step 3: Cross multiply
    89,662x = 125,660 × 125,660
  4. Step 4: Simplify right side
    89,662x = 15,790,435,600
  5. Step 5: Solve for x
    x = 15,790,435,600/89,662
  6. Step 6: Final answer
    x = 176,110.68

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