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Finding the Third Proportional to 126,556 and 267,342

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Solution

The third proportional to 126,556 and 267,342 is: 564,744.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,556 : 267,342 = 267,342 : x
  2. Step 2: Convert to fraction form
    126,556/267,342 = 267,342/x
  3. Step 3: Cross multiply
    126,556x = 267,342 × 267,342
  4. Step 4: Simplify right side
    126,556x = 71,471,744,964
  5. Step 5: Solve for x
    x = 71,471,744,964/126,556
  6. Step 6: Final answer
    x = 564,744.03

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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.