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Finding the Third Proportional to 129,017.25 and 195,469.88

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Solution

The third proportional to 129,017.25 and 195,469.88 is: 296,150.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,017.25 : 195,469.88 = 195,469.88 : x
  2. Step 2: Convert to fraction form
    129,017.25/195,469.88 = 195,469.88/x
  3. Step 3: Cross multiply
    129,017.25x = 195,469.88 × 195,469.88
  4. Step 4: Simplify right side
    129,017.25x = 38,208,472,032.52
  5. Step 5: Solve for x
    x = 38,208,472,032.52/129,017.25
  6. Step 6: Final answer
    x = 296,150.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.