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Finding the Third Proportional to 75,446 and 163,870

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Solution

The third proportional to 75,446 and 163,870 is: 355,928.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,446 : 163,870 = 163,870 : x
  2. Step 2: Convert to fraction form
    75,446/163,870 = 163,870/x
  3. Step 3: Cross multiply
    75,446x = 163,870 × 163,870
  4. Step 4: Simplify right side
    75,446x = 26,853,376,900
  5. Step 5: Solve for x
    x = 26,853,376,900/75,446
  6. Step 6: Final answer
    x = 355,928.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.