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Finding the Third Proportional to 95,924 and 195,656

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Solution

The third proportional to 95,924 and 195,656 is: 399,079.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,924 : 195,656 = 195,656 : x
  2. Step 2: Convert to fraction form
    95,924/195,656 = 195,656/x
  3. Step 3: Cross multiply
    95,924x = 195,656 × 195,656
  4. Step 4: Simplify right side
    95,924x = 38,281,270,336
  5. Step 5: Solve for x
    x = 38,281,270,336/95,924
  6. Step 6: Final answer
    x = 399,079.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.