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Finding the Third Proportional to 65,279 and 143,167

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Solution

The third proportional to 65,279 and 143,167 is: 313,987.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,279 : 143,167 = 143,167 : x
  2. Step 2: Convert to fraction form
    65,279/143,167 = 143,167/x
  3. Step 3: Cross multiply
    65,279x = 143,167 × 143,167
  4. Step 4: Simplify right side
    65,279x = 20,496,789,889
  5. Step 5: Solve for x
    x = 20,496,789,889/65,279
  6. Step 6: Final answer
    x = 313,987.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.