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Finding the Third Proportional to 96,852 and 146,727

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Solution

The third proportional to 96,852 and 146,727 is: 222,285.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,852 : 146,727 = 146,727 : x
  2. Step 2: Convert to fraction form
    96,852/146,727 = 146,727/x
  3. Step 3: Cross multiply
    96,852x = 146,727 × 146,727
  4. Step 4: Simplify right side
    96,852x = 21,528,812,529
  5. Step 5: Solve for x
    x = 21,528,812,529/96,852
  6. Step 6: Final answer
    x = 222,285.68

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Why These Related Problems?

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