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Finding the Third Proportional to 75,208 and 160,424

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Solution

The third proportional to 75,208 and 160,424 is: 342,195.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,208 : 160,424 = 160,424 : x
  2. Step 2: Convert to fraction form
    75,208/160,424 = 160,424/x
  3. Step 3: Cross multiply
    75,208x = 160,424 × 160,424
  4. Step 4: Simplify right side
    75,208x = 25,735,859,776
  5. Step 5: Solve for x
    x = 25,735,859,776/75,208
  6. Step 6: Final answer
    x = 342,195.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.