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Finding the Third Proportional to 58,452 and 126,741

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Solution

The third proportional to 58,452 and 126,741 is: 274,811.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,452 : 126,741 = 126,741 : x
  2. Step 2: Convert to fraction form
    58,452/126,741 = 126,741/x
  3. Step 3: Cross multiply
    58,452x = 126,741 × 126,741
  4. Step 4: Simplify right side
    58,452x = 16,063,281,081
  5. Step 5: Solve for x
    x = 16,063,281,081/58,452
  6. Step 6: Final answer
    x = 274,811.49

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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.