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Finding the Third Proportional to 84,551 and 126,595

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Solution

The third proportional to 84,551 and 126,595 is: 189,545.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,551 : 126,595 = 126,595 : x
  2. Step 2: Convert to fraction form
    84,551/126,595 = 126,595/x
  3. Step 3: Cross multiply
    84,551x = 126,595 × 126,595
  4. Step 4: Simplify right side
    84,551x = 16,026,294,025
  5. Step 5: Solve for x
    x = 16,026,294,025/84,551
  6. Step 6: Final answer
    x = 189,545.88

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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.