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Finding the Third Proportional to 83,772 and 125,838

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Solution

The third proportional to 83,772 and 125,838 is: 189,027.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,772 : 125,838 = 125,838 : x
  2. Step 2: Convert to fraction form
    83,772/125,838 = 125,838/x
  3. Step 3: Cross multiply
    83,772x = 125,838 × 125,838
  4. Step 4: Simplify right side
    83,772x = 15,835,202,244
  5. Step 5: Solve for x
    x = 15,835,202,244/83,772
  6. Step 6: Final answer
    x = 189,027.39

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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.