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Finding the Third Proportional to 129,955 and 195,893

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Solution

The third proportional to 129,955 and 195,893 is: 295,287.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,955 : 195,893 = 195,893 : x
  2. Step 2: Convert to fraction form
    129,955/195,893 = 195,893/x
  3. Step 3: Cross multiply
    129,955x = 195,893 × 195,893
  4. Step 4: Simplify right side
    129,955x = 38,374,067,449
  5. Step 5: Solve for x
    x = 38,374,067,449/129,955
  6. Step 6: Final answer
    x = 295,287.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.