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Finding the Third Proportional to 125,979.75 and 274,103.25

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Solution

The third proportional to 125,979.75 and 274,103.25 is: 596,386.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,979.75 : 274,103.25 = 274,103.25 : x
  2. Step 2: Convert to fraction form
    125,979.75/274,103.25 = 274,103.25/x
  3. Step 3: Cross multiply
    125,979.75x = 274,103.25 × 274,103.25
  4. Step 4: Simplify right side
    125,979.75x = 75,132,591,660.56
  5. Step 5: Solve for x
    x = 75,132,591,660.56/125,979.75
  6. Step 6: Final answer
    x = 596,386.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.