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Finding the Third Proportional to 79,792 and 169,952

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Solution

The third proportional to 79,792 and 169,952 is: 361,987.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,792 : 169,952 = 169,952 : x
  2. Step 2: Convert to fraction form
    79,792/169,952 = 169,952/x
  3. Step 3: Cross multiply
    79,792x = 169,952 × 169,952
  4. Step 4: Simplify right side
    79,792x = 28,883,682,304
  5. Step 5: Solve for x
    x = 28,883,682,304/79,792
  6. Step 6: Final answer
    x = 361,987.20

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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.