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Finding the Third Proportional to 83,232.75 and 117,772.50

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Solution

The third proportional to 83,232.75 and 117,772.50 is: 166,645.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,232.75 : 117,772.50 = 117,772.50 : x
  2. Step 2: Convert to fraction form
    83,232.75/117,772.50 = 117,772.50/x
  3. Step 3: Cross multiply
    83,232.75x = 117,772.50 × 117,772.50
  4. Step 4: Simplify right side
    83,232.75x = 13,870,361,756.25
  5. Step 5: Solve for x
    x = 13,870,361,756.25/83,232.75
  6. Step 6: Final answer
    x = 166,645.48

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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.