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Finding the Third Proportional to 129,058 and 195,530

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Solution

The third proportional to 129,058 and 195,530 is: 296,238.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,058 : 195,530 = 195,530 : x
  2. Step 2: Convert to fraction form
    129,058/195,530 = 195,530/x
  3. Step 3: Cross multiply
    129,058x = 195,530 × 195,530
  4. Step 4: Simplify right side
    129,058x = 38,231,980,900
  5. Step 5: Solve for x
    x = 38,231,980,900/129,058
  6. Step 6: Final answer
    x = 296,238.75

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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.