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Finding the Third Proportional to 71,244.69 and 111,180.31

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Solution

The third proportional to 71,244.69 and 111,180.31 is: 173,501.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,244.69 : 111,180.31 = 111,180.31 : x
  2. Step 2: Convert to fraction form
    71,244.69/111,180.31 = 111,180.31/x
  3. Step 3: Cross multiply
    71,244.69x = 111,180.31 × 111,180.31
  4. Step 4: Simplify right side
    71,244.69x = 12,361,061,887.60
  5. Step 5: Solve for x
    x = 12,361,061,887.60/71,244.69
  6. Step 6: Final answer
    x = 173,501.52

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.