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Finding the Third Proportional to 87,774 and 127,677

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Solution

The third proportional to 87,774 and 127,677 is: 185,720.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,774 : 127,677 = 127,677 : x
  2. Step 2: Convert to fraction form
    87,774/127,677 = 127,677/x
  3. Step 3: Cross multiply
    87,774x = 127,677 × 127,677
  4. Step 4: Simplify right side
    87,774x = 16,301,416,329
  5. Step 5: Solve for x
    x = 16,301,416,329/87,774
  6. Step 6: Final answer
    x = 185,720.33

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.