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Finding the Third Proportional to 71,658.42 and 156,951.42

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Solution

The third proportional to 71,658.42 and 156,951.42 is: 343,766.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,658.42 : 156,951.42 = 156,951.42 : x
  2. Step 2: Convert to fraction form
    71,658.42/156,951.42 = 156,951.42/x
  3. Step 3: Cross multiply
    71,658.42x = 156,951.42 × 156,951.42
  4. Step 4: Simplify right side
    71,658.42x = 24,633,748,828.58
  5. Step 5: Solve for x
    x = 24,633,748,828.58/71,658.42
  6. Step 6: Final answer
    x = 343,766.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.