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Finding the Third Proportional to 51,976 and 110,132

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Solution

The third proportional to 51,976 and 110,132 is: 233,358.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,976 : 110,132 = 110,132 : x
  2. Step 2: Convert to fraction form
    51,976/110,132 = 110,132/x
  3. Step 3: Cross multiply
    51,976x = 110,132 × 110,132
  4. Step 4: Simplify right side
    51,976x = 12,129,057,424
  5. Step 5: Solve for x
    x = 12,129,057,424/51,976
  6. Step 6: Final answer
    x = 233,358.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.