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Finding the Third Proportional to 83,191.50 and 124,746.75

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Solution

The third proportional to 83,191.50 and 124,746.75 is: 187,059.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,191.50 : 124,746.75 = 124,746.75 : x
  2. Step 2: Convert to fraction form
    83,191.50/124,746.75 = 124,746.75/x
  3. Step 3: Cross multiply
    83,191.50x = 124,746.75 × 124,746.75
  4. Step 4: Simplify right side
    83,191.50x = 15,561,751,635.56
  5. Step 5: Solve for x
    x = 15,561,751,635.56/83,191.50
  6. Step 6: Final answer
    x = 187,059.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.