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Finding the Third Proportional to 132,662 and 187,540

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Solution

The third proportional to 132,662 and 187,540 is: 265,119.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,662 : 187,540 = 187,540 : x
  2. Step 2: Convert to fraction form
    132,662/187,540 = 187,540/x
  3. Step 3: Cross multiply
    132,662x = 187,540 × 187,540
  4. Step 4: Simplify right side
    132,662x = 35,171,251,600
  5. Step 5: Solve for x
    x = 35,171,251,600/132,662
  6. Step 6: Final answer
    x = 265,119.26

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.