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Finding the Third Proportional to 80,084.25 and 108,594

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Solution

The third proportional to 80,084.25 and 108,594 is: 147,253.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,084.25 : 108,594 = 108,594 : x
  2. Step 2: Convert to fraction form
    80,084.25/108,594 = 108,594/x
  3. Step 3: Cross multiply
    80,084.25x = 108,594 × 108,594
  4. Step 4: Simplify right side
    80,084.25x = 11,792,656,836
  5. Step 5: Solve for x
    x = 11,792,656,836/80,084.25
  6. Step 6: Final answer
    x = 147,253.13

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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.