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Finding the Third Proportional to 127,952 and 195,839

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Solution

The third proportional to 127,952 and 195,839 is: 299,744.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,952 : 195,839 = 195,839 : x
  2. Step 2: Convert to fraction form
    127,952/195,839 = 195,839/x
  3. Step 3: Cross multiply
    127,952x = 195,839 × 195,839
  4. Step 4: Simplify right side
    127,952x = 38,352,913,921
  5. Step 5: Solve for x
    x = 38,352,913,921/127,952
  6. Step 6: Final answer
    x = 299,744.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.