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Finding the Third Proportional to 83,892 and 125,905.50

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Solution

The third proportional to 83,892 and 125,905.50 is: 188,959.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,892 : 125,905.50 = 125,905.50 : x
  2. Step 2: Convert to fraction form
    83,892/125,905.50 = 125,905.50/x
  3. Step 3: Cross multiply
    83,892x = 125,905.50 × 125,905.50
  4. Step 4: Simplify right side
    83,892x = 15,852,194,930.25
  5. Step 5: Solve for x
    x = 15,852,194,930.25/83,892
  6. Step 6: Final answer
    x = 188,959.55

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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.