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Finding the Third Proportional to 27,976 and 62,168

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Solution

The third proportional to 27,976 and 62,168 is: 138,149.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,976 : 62,168 = 62,168 : x
  2. Step 2: Convert to fraction form
    27,976/62,168 = 62,168/x
  3. Step 3: Cross multiply
    27,976x = 62,168 × 62,168
  4. Step 4: Simplify right side
    27,976x = 3,864,860,224
  5. Step 5: Solve for x
    x = 3,864,860,224/27,976
  6. Step 6: Final answer
    x = 138,149.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.