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Finding the Third Proportional to 83,230.50 and 117,768.75

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Solution

The third proportional to 83,230.50 and 117,768.75 is: 166,639.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,230.50 : 117,768.75 = 117,768.75 : x
  2. Step 2: Convert to fraction form
    83,230.50/117,768.75 = 117,768.75/x
  3. Step 3: Cross multiply
    83,230.50x = 117,768.75 × 117,768.75
  4. Step 4: Simplify right side
    83,230.50x = 13,869,478,476.56
  5. Step 5: Solve for x
    x = 13,869,478,476.56/83,230.50
  6. Step 6: Final answer
    x = 166,639.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.