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Finding the Third Proportional to 98,016 and 146,631

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Solution

The third proportional to 98,016 and 146,631 is: 219,358.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,016 : 146,631 = 146,631 : x
  2. Step 2: Convert to fraction form
    98,016/146,631 = 146,631/x
  3. Step 3: Cross multiply
    98,016x = 146,631 × 146,631
  4. Step 4: Simplify right side
    98,016x = 21,500,650,161
  5. Step 5: Solve for x
    x = 21,500,650,161/98,016
  6. Step 6: Final answer
    x = 219,358.58

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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.