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Finding the Third Proportional to 98,086 and 146,761

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Solution

The third proportional to 98,086 and 146,761 is: 219,590.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,086 : 146,761 = 146,761 : x
  2. Step 2: Convert to fraction form
    98,086/146,761 = 146,761/x
  3. Step 3: Cross multiply
    98,086x = 146,761 × 146,761
  4. Step 4: Simplify right side
    98,086x = 21,538,791,121
  5. Step 5: Solve for x
    x = 21,538,791,121/98,086
  6. Step 6: Final answer
    x = 219,590.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.