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Finding the Third Proportional to 84,976 and 134,963

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Solution

The third proportional to 84,976 and 134,963 is: 214,354.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,976 : 134,963 = 134,963 : x
  2. Step 2: Convert to fraction form
    84,976/134,963 = 134,963/x
  3. Step 3: Cross multiply
    84,976x = 134,963 × 134,963
  4. Step 4: Simplify right side
    84,976x = 18,215,011,369
  5. Step 5: Solve for x
    x = 18,215,011,369/84,976
  6. Step 6: Final answer
    x = 214,354.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.