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Finding the Third Proportional to 65,778 and 98,279

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Solution

The third proportional to 65,778 and 98,279 is: 146,838.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,778 : 98,279 = 98,279 : x
  2. Step 2: Convert to fraction form
    65,778/98,279 = 98,279/x
  3. Step 3: Cross multiply
    65,778x = 98,279 × 98,279
  4. Step 4: Simplify right side
    65,778x = 9,658,761,841
  5. Step 5: Solve for x
    x = 9,658,761,841/65,778
  6. Step 6: Final answer
    x = 146,838.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.