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Finding the Third Proportional to 84,549 and 126,592

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Solution

The third proportional to 84,549 and 126,592 is: 189,541.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,549 : 126,592 = 126,592 : x
  2. Step 2: Convert to fraction form
    84,549/126,592 = 126,592/x
  3. Step 3: Cross multiply
    84,549x = 126,592 × 126,592
  4. Step 4: Simplify right side
    84,549x = 16,025,534,464
  5. Step 5: Solve for x
    x = 16,025,534,464/84,549
  6. Step 6: Final answer
    x = 189,541.38

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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.