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Finding the Third Proportional to 107,917 and 161,875

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Solution

The third proportional to 107,917 and 161,875 is: 242,811.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,917 : 161,875 = 161,875 : x
  2. Step 2: Convert to fraction form
    107,917/161,875 = 161,875/x
  3. Step 3: Cross multiply
    107,917x = 161,875 × 161,875
  4. Step 4: Simplify right side
    107,917x = 26,203,515,625
  5. Step 5: Solve for x
    x = 26,203,515,625/107,917
  6. Step 6: Final answer
    x = 242,811.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.