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Finding the Third Proportional to 129,416 and 193,932

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Solution

The third proportional to 129,416 and 193,932 is: 290,610.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,416 : 193,932 = 193,932 : x
  2. Step 2: Convert to fraction form
    129,416/193,932 = 193,932/x
  3. Step 3: Cross multiply
    129,416x = 193,932 × 193,932
  4. Step 4: Simplify right side
    129,416x = 37,609,620,624
  5. Step 5: Solve for x
    x = 37,609,620,624/129,416
  6. Step 6: Final answer
    x = 290,610.28

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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.