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Finding the Third Proportional to 58,672.69 and 126,452.81

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Solution

The third proportional to 58,672.69 and 126,452.81 is: 272,534.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,672.69 : 126,452.81 = 126,452.81 : x
  2. Step 2: Convert to fraction form
    58,672.69/126,452.81 = 126,452.81/x
  3. Step 3: Cross multiply
    58,672.69x = 126,452.81 × 126,452.81
  4. Step 4: Simplify right side
    58,672.69x = 15,990,313,789.16
  5. Step 5: Solve for x
    x = 15,990,313,789.16/58,672.69
  6. Step 6: Final answer
    x = 272,534.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.