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Finding the Third Proportional to 129,032 and 195,492

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Solution

The third proportional to 129,032 and 195,492 is: 296,183.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,032 : 195,492 = 195,492 : x
  2. Step 2: Convert to fraction form
    129,032/195,492 = 195,492/x
  3. Step 3: Cross multiply
    129,032x = 195,492 × 195,492
  4. Step 4: Simplify right side
    129,032x = 38,217,122,064
  5. Step 5: Solve for x
    x = 38,217,122,064/129,032
  6. Step 6: Final answer
    x = 296,183.29

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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.