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Finding the Third Proportional to 102,612 and 160,398

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Solution

The third proportional to 102,612 and 160,398 is: 250,726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,612 : 160,398 = 160,398 : x
  2. Step 2: Convert to fraction form
    102,612/160,398 = 160,398/x
  3. Step 3: Cross multiply
    102,612x = 160,398 × 160,398
  4. Step 4: Simplify right side
    102,612x = 25,727,518,404
  5. Step 5: Solve for x
    x = 25,727,518,404/102,612
  6. Step 6: Final answer
    x = 250,726.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.