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Finding the Third Proportional to 79,624 and 169,488

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Solution

The third proportional to 79,624 and 169,488 is: 360,772.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,624 : 169,488 = 169,488 : x
  2. Step 2: Convert to fraction form
    79,624/169,488 = 169,488/x
  3. Step 3: Cross multiply
    79,624x = 169,488 × 169,488
  4. Step 4: Simplify right side
    79,624x = 28,726,182,144
  5. Step 5: Solve for x
    x = 28,726,182,144/79,624
  6. Step 6: Final answer
    x = 360,772.91

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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.