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Finding the Third Proportional to 83,952.50 and 126,737.50

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Solution

The third proportional to 83,952.50 and 126,737.50 is: 191,327.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,952.50 : 126,737.50 = 126,737.50 : x
  2. Step 2: Convert to fraction form
    83,952.50/126,737.50 = 126,737.50/x
  3. Step 3: Cross multiply
    83,952.50x = 126,737.50 × 126,737.50
  4. Step 4: Simplify right side
    83,952.50x = 16,062,393,906.25
  5. Step 5: Solve for x
    x = 16,062,393,906.25/83,952.50
  6. Step 6: Final answer
    x = 191,327.17

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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.