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Finding the Third Proportional to 87,291 and 111,091.50

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Solution

The third proportional to 87,291 and 111,091.50 is: 141,381.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,291 : 111,091.50 = 111,091.50 : x
  2. Step 2: Convert to fraction form
    87,291/111,091.50 = 111,091.50/x
  3. Step 3: Cross multiply
    87,291x = 111,091.50 × 111,091.50
  4. Step 4: Simplify right side
    87,291x = 12,341,321,372.25
  5. Step 5: Solve for x
    x = 12,341,321,372.25/87,291
  6. Step 6: Final answer
    x = 141,381.37

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.