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Finding the Third Proportional to 70,174 and 107,857

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Solution

The third proportional to 70,174 and 107,857 is: 165,775.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,174 : 107,857 = 107,857 : x
  2. Step 2: Convert to fraction form
    70,174/107,857 = 107,857/x
  3. Step 3: Cross multiply
    70,174x = 107,857 × 107,857
  4. Step 4: Simplify right side
    70,174x = 11,633,132,449
  5. Step 5: Solve for x
    x = 11,633,132,449/70,174
  6. Step 6: Final answer
    x = 165,775.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.