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Finding the Third Proportional to 115,972 and 251,132

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Solution

The third proportional to 115,972 and 251,132 is: 543,814.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,972 : 251,132 = 251,132 : x
  2. Step 2: Convert to fraction form
    115,972/251,132 = 251,132/x
  3. Step 3: Cross multiply
    115,972x = 251,132 × 251,132
  4. Step 4: Simplify right side
    115,972x = 63,067,281,424
  5. Step 5: Solve for x
    x = 63,067,281,424/115,972
  6. Step 6: Final answer
    x = 543,814.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.