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Finding the Third Proportional to 101,249 and 160,917

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Solution

The third proportional to 101,249 and 160,917 is: 255,748.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,249 : 160,917 = 160,917 : x
  2. Step 2: Convert to fraction form
    101,249/160,917 = 160,917/x
  3. Step 3: Cross multiply
    101,249x = 160,917 × 160,917
  4. Step 4: Simplify right side
    101,249x = 25,894,280,889
  5. Step 5: Solve for x
    x = 25,894,280,889/101,249
  6. Step 6: Final answer
    x = 255,748.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.