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Finding the Third Proportional to 71,750 and 111,985

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Solution

The third proportional to 71,750 and 111,985 is: 174,782.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,750 : 111,985 = 111,985 : x
  2. Step 2: Convert to fraction form
    71,750/111,985 = 111,985/x
  3. Step 3: Cross multiply
    71,750x = 111,985 × 111,985
  4. Step 4: Simplify right side
    71,750x = 12,540,640,225
  5. Step 5: Solve for x
    x = 12,540,640,225/71,750
  6. Step 6: Final answer
    x = 174,782.44

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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.