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Finding the Third Proportional to 83,127.09 and 125,563.78

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Solution

The third proportional to 83,127.09 and 125,563.78 is: 189,664.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,127.09 : 125,563.78 = 125,563.78 : x
  2. Step 2: Convert to fraction form
    83,127.09/125,563.78 = 125,563.78/x
  3. Step 3: Cross multiply
    83,127.09x = 125,563.78 × 125,563.78
  4. Step 4: Simplify right side
    83,127.09x = 15,766,263,161.80
  5. Step 5: Solve for x
    x = 15,766,263,161.80/83,127.09
  6. Step 6: Final answer
    x = 189,664.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.