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Finding the Third Proportional to 83,666.25 and 117,024.75

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Solution

The third proportional to 83,666.25 and 117,024.75 is: 163,683.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,666.25 : 117,024.75 = 117,024.75 : x
  2. Step 2: Convert to fraction form
    83,666.25/117,024.75 = 117,024.75/x
  3. Step 3: Cross multiply
    83,666.25x = 117,024.75 × 117,024.75
  4. Step 4: Simplify right side
    83,666.25x = 13,694,792,112.56
  5. Step 5: Solve for x
    x = 13,694,792,112.56/83,666.25
  6. Step 6: Final answer
    x = 163,683.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.