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Finding the Third Proportional to 79,626 and 169,492

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Solution

The third proportional to 79,626 and 169,492 is: 360,780.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,626 : 169,492 = 169,492 : x
  2. Step 2: Convert to fraction form
    79,626/169,492 = 169,492/x
  3. Step 3: Cross multiply
    79,626x = 169,492 × 169,492
  4. Step 4: Simplify right side
    79,626x = 28,727,538,064
  5. Step 5: Solve for x
    x = 28,727,538,064/79,626
  6. Step 6: Final answer
    x = 360,780.88

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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.