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Finding the Third Proportional to 41,069 and 88,693

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Solution

The third proportional to 41,069 and 88,693 is: 191,542.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,069 : 88,693 = 88,693 : x
  2. Step 2: Convert to fraction form
    41,069/88,693 = 88,693/x
  3. Step 3: Cross multiply
    41,069x = 88,693 × 88,693
  4. Step 4: Simplify right side
    41,069x = 7,866,448,249
  5. Step 5: Solve for x
    x = 7,866,448,249/41,069
  6. Step 6: Final answer
    x = 191,542.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.