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Finding the Third Proportional to 71,862.75 and 167,847.75

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Solution

The third proportional to 71,862.75 and 167,847.75 is: 392,037.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,862.75 : 167,847.75 = 167,847.75 : x
  2. Step 2: Convert to fraction form
    71,862.75/167,847.75 = 167,847.75/x
  3. Step 3: Cross multiply
    71,862.75x = 167,847.75 × 167,847.75
  4. Step 4: Simplify right side
    71,862.75x = 28,172,867,180.06
  5. Step 5: Solve for x
    x = 28,172,867,180.06/71,862.75
  6. Step 6: Final answer
    x = 392,037.14

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.