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Finding the Third Proportional to 126,832.50 and 267,804

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Solution

The third proportional to 126,832.50 and 267,804 is: 565,462.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,832.50 : 267,804 = 267,804 : x
  2. Step 2: Convert to fraction form
    126,832.50/267,804 = 267,804/x
  3. Step 3: Cross multiply
    126,832.50x = 267,804 × 267,804
  4. Step 4: Simplify right side
    126,832.50x = 71,718,982,416
  5. Step 5: Solve for x
    x = 71,718,982,416/126,832.50
  6. Step 6: Final answer
    x = 565,462.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.