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Finding the Third Proportional to 71,920.13 and 151,423.88

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Solution

The third proportional to 71,920.13 and 151,423.88 is: 318,814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,920.13 : 151,423.88 = 151,423.88 : x
  2. Step 2: Convert to fraction form
    71,920.13/151,423.88 = 151,423.88/x
  3. Step 3: Cross multiply
    71,920.13x = 151,423.88 × 151,423.88
  4. Step 4: Simplify right side
    71,920.13x = 22,929,189,920.02
  5. Step 5: Solve for x
    x = 22,929,189,920.02/71,920.13
  6. Step 6: Final answer
    x = 318,814.66

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.