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Finding the Third Proportional to 83,292.75 and 134,138.25

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Solution

The third proportional to 83,292.75 and 134,138.25 is: 216,022.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,292.75 : 134,138.25 = 134,138.25 : x
  2. Step 2: Convert to fraction form
    83,292.75/134,138.25 = 134,138.25/x
  3. Step 3: Cross multiply
    83,292.75x = 134,138.25 × 134,138.25
  4. Step 4: Simplify right side
    83,292.75x = 17,993,070,113.06
  5. Step 5: Solve for x
    x = 17,993,070,113.06/83,292.75
  6. Step 6: Final answer
    x = 216,022.04

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.