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Finding the Third Proportional to 96,856 and 146,733

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Solution

The third proportional to 96,856 and 146,733 is: 222,294.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,856 : 146,733 = 146,733 : x
  2. Step 2: Convert to fraction form
    96,856/146,733 = 146,733/x
  3. Step 3: Cross multiply
    96,856x = 146,733 × 146,733
  4. Step 4: Simplify right side
    96,856x = 21,530,573,289
  5. Step 5: Solve for x
    x = 21,530,573,289/96,856
  6. Step 6: Final answer
    x = 222,294.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.