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Finding the Third Proportional to 126,426.92 and 268,944.52

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Solution

The third proportional to 126,426.92 and 268,944.52 is: 572,118.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,426.92 : 268,944.52 = 268,944.52 : x
  2. Step 2: Convert to fraction form
    126,426.92/268,944.52 = 268,944.52/x
  3. Step 3: Cross multiply
    126,426.92x = 268,944.52 × 268,944.52
  4. Step 4: Simplify right side
    126,426.92x = 72,331,155,636.46
  5. Step 5: Solve for x
    x = 72,331,155,636.46/126,426.92
  6. Step 6: Final answer
    x = 572,118.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.