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Finding the Third Proportional to 65,726 and 96,279

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Solution

The third proportional to 65,726 and 96,279 is: 141,034.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,726 : 96,279 = 96,279 : x
  2. Step 2: Convert to fraction form
    65,726/96,279 = 96,279/x
  3. Step 3: Cross multiply
    65,726x = 96,279 × 96,279
  4. Step 4: Simplify right side
    65,726x = 9,269,645,841
  5. Step 5: Solve for x
    x = 9,269,645,841/65,726
  6. Step 6: Final answer
    x = 141,034.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.