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Finding the Third Proportional to 71,658.42 and 153,670.92

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Solution

The third proportional to 71,658.42 and 153,670.92 is: 329,546.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,658.42 : 153,670.92 = 153,670.92 : x
  2. Step 2: Convert to fraction form
    71,658.42/153,670.92 = 153,670.92/x
  3. Step 3: Cross multiply
    71,658.42x = 153,670.92 × 153,670.92
  4. Step 4: Simplify right side
    71,658.42x = 23,614,752,229.91
  5. Step 5: Solve for x
    x = 23,614,752,229.91/71,658.42
  6. Step 6: Final answer
    x = 329,546.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.