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Finding the Third Proportional to 102,438 and 160,694

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Solution

The third proportional to 102,438 and 160,694 is: 252,079.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,438 : 160,694 = 160,694 : x
  2. Step 2: Convert to fraction form
    102,438/160,694 = 160,694/x
  3. Step 3: Cross multiply
    102,438x = 160,694 × 160,694
  4. Step 4: Simplify right side
    102,438x = 25,822,561,636
  5. Step 5: Solve for x
    x = 25,822,561,636/102,438
  6. Step 6: Final answer
    x = 252,079.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.