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Finding the Third Proportional to 115,049 and 251,016

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Solution

The third proportional to 115,049 and 251,016 is: 547,671.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,049 : 251,016 = 251,016 : x
  2. Step 2: Convert to fraction form
    115,049/251,016 = 251,016/x
  3. Step 3: Cross multiply
    115,049x = 251,016 × 251,016
  4. Step 4: Simplify right side
    115,049x = 63,009,032,256
  5. Step 5: Solve for x
    x = 63,009,032,256/115,049
  6. Step 6: Final answer
    x = 547,671.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.