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Finding the Third Proportional to 59,604 and 126,315

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Solution

The third proportional to 59,604 and 126,315 is: 267,691.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,604 : 126,315 = 126,315 : x
  2. Step 2: Convert to fraction form
    59,604/126,315 = 126,315/x
  3. Step 3: Cross multiply
    59,604x = 126,315 × 126,315
  4. Step 4: Simplify right side
    59,604x = 15,955,479,225
  5. Step 5: Solve for x
    x = 15,955,479,225/59,604
  6. Step 6: Final answer
    x = 267,691.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.