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Finding the Third Proportional to 81,792 and 119,986

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Solution

The third proportional to 81,792 and 119,986 is: 176,015.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,792 : 119,986 = 119,986 : x
  2. Step 2: Convert to fraction form
    81,792/119,986 = 119,986/x
  3. Step 3: Cross multiply
    81,792x = 119,986 × 119,986
  4. Step 4: Simplify right side
    81,792x = 14,396,640,196
  5. Step 5: Solve for x
    x = 14,396,640,196/81,792
  6. Step 6: Final answer
    x = 176,015.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.