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Finding the Third Proportional to 84,692 and 126,627

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Solution

The third proportional to 84,692 and 126,627 is: 189,325.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,692 : 126,627 = 126,627 : x
  2. Step 2: Convert to fraction form
    84,692/126,627 = 126,627/x
  3. Step 3: Cross multiply
    84,692x = 126,627 × 126,627
  4. Step 4: Simplify right side
    84,692x = 16,034,397,129
  5. Step 5: Solve for x
    x = 16,034,397,129/84,692
  6. Step 6: Final answer
    x = 189,325.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.