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Finding the Third Proportional to 83,924.86 and 171,727.17

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Solution

The third proportional to 83,924.86 and 171,727.17 is: 351,388.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,924.86 : 171,727.17 = 171,727.17 : x
  2. Step 2: Convert to fraction form
    83,924.86/171,727.17 = 171,727.17/x
  3. Step 3: Cross multiply
    83,924.86x = 171,727.17 × 171,727.17
  4. Step 4: Simplify right side
    83,924.86x = 29,490,221,560.19
  5. Step 5: Solve for x
    x = 29,490,221,560.19/83,924.86
  6. Step 6: Final answer
    x = 351,388.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.