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Finding the Third Proportional to 83,396.25 and 125,815.50

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Solution

The third proportional to 83,396.25 and 125,815.50 is: 189,811.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,396.25 : 125,815.50 = 125,815.50 : x
  2. Step 2: Convert to fraction form
    83,396.25/125,815.50 = 125,815.50/x
  3. Step 3: Cross multiply
    83,396.25x = 125,815.50 × 125,815.50
  4. Step 4: Simplify right side
    83,396.25x = 15,829,540,040.25
  5. Step 5: Solve for x
    x = 15,829,540,040.25/83,396.25
  6. Step 6: Final answer
    x = 189,811.17

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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.