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Finding the Third Proportional to 80,934.75 and 122,531.06

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Solution

The third proportional to 80,934.75 and 122,531.06 is: 185,505.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,934.75 : 122,531.06 = 122,531.06 : x
  2. Step 2: Convert to fraction form
    80,934.75/122,531.06 = 122,531.06/x
  3. Step 3: Cross multiply
    80,934.75x = 122,531.06 × 122,531.06
  4. Step 4: Simplify right side
    80,934.75x = 15,013,861,277.38
  5. Step 5: Solve for x
    x = 15,013,861,277.38/80,934.75
  6. Step 6: Final answer
    x = 185,505.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.