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Finding the Third Proportional to 83,205.75 and 117,737.25

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Solution

The third proportional to 83,205.75 and 117,737.25 is: 166,599.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,205.75 : 117,737.25 = 117,737.25 : x
  2. Step 2: Convert to fraction form
    83,205.75/117,737.25 = 117,737.25/x
  3. Step 3: Cross multiply
    83,205.75x = 117,737.25 × 117,737.25
  4. Step 4: Simplify right side
    83,205.75x = 13,862,060,037.56
  5. Step 5: Solve for x
    x = 13,862,060,037.56/83,205.75
  6. Step 6: Final answer
    x = 166,599.78

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.