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Finding the Third Proportional to 71,874 and 111,177.56

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Solution

The third proportional to 71,874 and 111,177.56 is: 171,973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,874 : 111,177.56 = 111,177.56 : x
  2. Step 2: Convert to fraction form
    71,874/111,177.56 = 111,177.56/x
  3. Step 3: Cross multiply
    71,874x = 111,177.56 × 111,177.56
  4. Step 4: Simplify right side
    71,874x = 12,360,450,403.44
  5. Step 5: Solve for x
    x = 12,360,450,403.44/71,874
  6. Step 6: Final answer
    x = 171,973.88

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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.