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Finding the Third Proportional to 126,081 and 274,518

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Solution

The third proportional to 126,081 and 274,518 is: 597,712.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,081 : 274,518 = 274,518 : x
  2. Step 2: Convert to fraction form
    126,081/274,518 = 274,518/x
  3. Step 3: Cross multiply
    126,081x = 274,518 × 274,518
  4. Step 4: Simplify right side
    126,081x = 75,360,132,324
  5. Step 5: Solve for x
    x = 75,360,132,324/126,081
  6. Step 6: Final answer
    x = 597,712.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.