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Finding the Third Proportional to 106,682 and 160,853

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Solution

The third proportional to 106,682 and 160,853 is: 242,530.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,682 : 160,853 = 160,853 : x
  2. Step 2: Convert to fraction form
    106,682/160,853 = 160,853/x
  3. Step 3: Cross multiply
    106,682x = 160,853 × 160,853
  4. Step 4: Simplify right side
    106,682x = 25,873,687,609
  5. Step 5: Solve for x
    x = 25,873,687,609/106,682
  6. Step 6: Final answer
    x = 242,530.96

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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.