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Finding the Third Proportional to 83,844 and 125,758

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Solution

The third proportional to 83,844 and 125,758 is: 188,625.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,844 : 125,758 = 125,758 : x
  2. Step 2: Convert to fraction form
    83,844/125,758 = 125,758/x
  3. Step 3: Cross multiply
    83,844x = 125,758 × 125,758
  4. Step 4: Simplify right side
    83,844x = 15,815,074,564
  5. Step 5: Solve for x
    x = 15,815,074,564/83,844
  6. Step 6: Final answer
    x = 188,625.00

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