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Finding the Third Proportional to 126,744 and 185,508

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Solution

The third proportional to 126,744 and 185,508 is: 271,517.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,744 : 185,508 = 185,508 : x
  2. Step 2: Convert to fraction form
    126,744/185,508 = 185,508/x
  3. Step 3: Cross multiply
    126,744x = 185,508 × 185,508
  4. Step 4: Simplify right side
    126,744x = 34,413,218,064
  5. Step 5: Solve for x
    x = 34,413,218,064/126,744
  6. Step 6: Final answer
    x = 271,517.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.