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Finding the Third Proportional to 126,050 and 273,292

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Solution

The third proportional to 126,050 and 273,292 is: 592,530.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,050 : 273,292 = 273,292 : x
  2. Step 2: Convert to fraction form
    126,050/273,292 = 273,292/x
  3. Step 3: Cross multiply
    126,050x = 273,292 × 273,292
  4. Step 4: Simplify right side
    126,050x = 74,688,517,264
  5. Step 5: Solve for x
    x = 74,688,517,264/126,050
  6. Step 6: Final answer
    x = 592,530.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.