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Finding the Third Proportional to 83,295.75 and 118,713.75

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Solution

The third proportional to 83,295.75 and 118,713.75 is: 169,191.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,295.75 : 118,713.75 = 118,713.75 : x
  2. Step 2: Convert to fraction form
    83,295.75/118,713.75 = 118,713.75/x
  3. Step 3: Cross multiply
    83,295.75x = 118,713.75 × 118,713.75
  4. Step 4: Simplify right side
    83,295.75x = 14,092,954,439.06
  5. Step 5: Solve for x
    x = 14,092,954,439.06/83,295.75
  6. Step 6: Final answer
    x = 169,191.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.