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Finding the Third Proportional to 62,692 and 87,867

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Solution

The third proportional to 62,692 and 87,867 is: 123,151.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,692 : 87,867 = 87,867 : x
  2. Step 2: Convert to fraction form
    62,692/87,867 = 87,867/x
  3. Step 3: Cross multiply
    62,692x = 87,867 × 87,867
  4. Step 4: Simplify right side
    62,692x = 7,720,609,689
  5. Step 5: Solve for x
    x = 7,720,609,689/62,692
  6. Step 6: Final answer
    x = 123,151.43

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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.