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Finding the Third Proportional to 71,157 and 111,620

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Solution

The third proportional to 71,157 and 111,620 is: 175,092.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,157 : 111,620 = 111,620 : x
  2. Step 2: Convert to fraction form
    71,157/111,620 = 111,620/x
  3. Step 3: Cross multiply
    71,157x = 111,620 × 111,620
  4. Step 4: Simplify right side
    71,157x = 12,459,024,400
  5. Step 5: Solve for x
    x = 12,459,024,400/71,157
  6. Step 6: Final answer
    x = 175,092.04

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.