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Finding the Third Proportional to 86,758 and 117,849

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Solution

The third proportional to 86,758 and 117,849 is: 160,081.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,758 : 117,849 = 117,849 : x
  2. Step 2: Convert to fraction form
    86,758/117,849 = 117,849/x
  3. Step 3: Cross multiply
    86,758x = 117,849 × 117,849
  4. Step 4: Simplify right side
    86,758x = 13,888,386,801
  5. Step 5: Solve for x
    x = 13,888,386,801/86,758
  6. Step 6: Final answer
    x = 160,081.92

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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.