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Finding the Third Proportional to 87,998 and 116,686

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Solution

The third proportional to 87,998 and 116,686 is: 154,726.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,998 : 116,686 = 116,686 : x
  2. Step 2: Convert to fraction form
    87,998/116,686 = 116,686/x
  3. Step 3: Cross multiply
    87,998x = 116,686 × 116,686
  4. Step 4: Simplify right side
    87,998x = 13,615,622,596
  5. Step 5: Solve for x
    x = 13,615,622,596/87,998
  6. Step 6: Final answer
    x = 154,726.50

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.