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Finding the Third Proportional to 83,488 and 125,972

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Solution

The third proportional to 83,488 and 125,972 is: 190,074.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,488 : 125,972 = 125,972 : x
  2. Step 2: Convert to fraction form
    83,488/125,972 = 125,972/x
  3. Step 3: Cross multiply
    83,488x = 125,972 × 125,972
  4. Step 4: Simplify right side
    83,488x = 15,868,944,784
  5. Step 5: Solve for x
    x = 15,868,944,784/83,488
  6. Step 6: Final answer
    x = 190,074.56

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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.