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Finding the Third Proportional to 65,760 and 100,279

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Solution

The third proportional to 65,760 and 100,279 is: 152,917.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,760 : 100,279 = 100,279 : x
  2. Step 2: Convert to fraction form
    65,760/100,279 = 100,279/x
  3. Step 3: Cross multiply
    65,760x = 100,279 × 100,279
  4. Step 4: Simplify right side
    65,760x = 10,055,877,841
  5. Step 5: Solve for x
    x = 10,055,877,841/65,760
  6. Step 6: Final answer
    x = 152,917.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.