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Finding the Third Proportional to 87,993 and 119,549.25

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Solution

The third proportional to 87,993 and 119,549.25 is: 162,422.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,993 : 119,549.25 = 119,549.25 : x
  2. Step 2: Convert to fraction form
    87,993/119,549.25 = 119,549.25/x
  3. Step 3: Cross multiply
    87,993x = 119,549.25 × 119,549.25
  4. Step 4: Simplify right side
    87,993x = 14,292,023,175.56
  5. Step 5: Solve for x
    x = 14,292,023,175.56/87,993
  6. Step 6: Final answer
    x = 162,422.27

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.