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Finding the Third Proportional to 129,822.75 and 194,734.13

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Solution

The third proportional to 129,822.75 and 194,734.13 is: 292,101.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,822.75 : 194,734.13 = 194,734.13 : x
  2. Step 2: Convert to fraction form
    129,822.75/194,734.13 = 194,734.13/x
  3. Step 3: Cross multiply
    129,822.75x = 194,734.13 × 194,734.13
  4. Step 4: Simplify right side
    129,822.75x = 37,921,379,439.52
  5. Step 5: Solve for x
    x = 37,921,379,439.52/129,822.75
  6. Step 6: Final answer
    x = 292,101.19

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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.