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Finding the Third Proportional to 71,750 and 111,726

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Solution

The third proportional to 71,750 and 111,726 is: 173,974.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,750 : 111,726 = 111,726 : x
  2. Step 2: Convert to fraction form
    71,750/111,726 = 111,726/x
  3. Step 3: Cross multiply
    71,750x = 111,726 × 111,726
  4. Step 4: Simplify right side
    71,750x = 12,482,699,076
  5. Step 5: Solve for x
    x = 12,482,699,076/71,750
  6. Step 6: Final answer
    x = 173,974.90

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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.