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Finding the Third Proportional to 58,447 and 126,857

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Solution

The third proportional to 58,447 and 126,857 is: 275,338.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,447 : 126,857 = 126,857 : x
  2. Step 2: Convert to fraction form
    58,447/126,857 = 126,857/x
  3. Step 3: Cross multiply
    58,447x = 126,857 × 126,857
  4. Step 4: Simplify right side
    58,447x = 16,092,698,449
  5. Step 5: Solve for x
    x = 16,092,698,449/58,447
  6. Step 6: Final answer
    x = 275,338.31

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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.