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Finding the Third Proportional to 132,672 and 187,554

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Solution

The third proportional to 132,672 and 187,554 is: 265,138.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,672 : 187,554 = 187,554 : x
  2. Step 2: Convert to fraction form
    132,672/187,554 = 187,554/x
  3. Step 3: Cross multiply
    132,672x = 187,554 × 187,554
  4. Step 4: Simplify right side
    132,672x = 35,176,502,916
  5. Step 5: Solve for x
    x = 35,176,502,916/132,672
  6. Step 6: Final answer
    x = 265,138.86

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Why These Related Problems?

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