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Finding the Third Proportional to 71,323.31 and 110,377.69

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Solution

The third proportional to 71,323.31 and 110,377.69 is: 170,816.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,323.31 : 110,377.69 = 110,377.69 : x
  2. Step 2: Convert to fraction form
    71,323.31/110,377.69 = 110,377.69/x
  3. Step 3: Cross multiply
    71,323.31x = 110,377.69 × 110,377.69
  4. Step 4: Simplify right side
    71,323.31x = 12,183,233,897.85
  5. Step 5: Solve for x
    x = 12,183,233,897.85/71,323.31
  6. Step 6: Final answer
    x = 170,816.99

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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.