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Finding the Third Proportional to 71,687.69 and 111,451.13

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Solution

The third proportional to 71,687.69 and 111,451.13 is: 173,270.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,687.69 : 111,451.13 = 111,451.13 : x
  2. Step 2: Convert to fraction form
    71,687.69/111,451.13 = 111,451.13/x
  3. Step 3: Cross multiply
    71,687.69x = 111,451.13 × 111,451.13
  4. Step 4: Simplify right side
    71,687.69x = 12,421,353,263.77
  5. Step 5: Solve for x
    x = 12,421,353,263.77/71,687.69
  6. Step 6: Final answer
    x = 173,270.39

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.