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Finding the Third Proportional to 71,338.50 and 110,614.50

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Solution

The third proportional to 71,338.50 and 110,614.50 is: 171,514.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,338.50 : 110,614.50 = 110,614.50 : x
  2. Step 2: Convert to fraction form
    71,338.50/110,614.50 = 110,614.50/x
  3. Step 3: Cross multiply
    71,338.50x = 110,614.50 × 110,614.50
  4. Step 4: Simplify right side
    71,338.50x = 12,235,567,610.25
  5. Step 5: Solve for x
    x = 12,235,567,610.25/71,338.50
  6. Step 6: Final answer
    x = 171,514.23

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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.