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Finding the Third Proportional to 124,866 and 161,722

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Solution

The third proportional to 124,866 and 161,722 is: 209,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,866 : 161,722 = 161,722 : x
  2. Step 2: Convert to fraction form
    124,866/161,722 = 161,722/x
  3. Step 3: Cross multiply
    124,866x = 161,722 × 161,722
  4. Step 4: Simplify right side
    124,866x = 26,154,005,284
  5. Step 5: Solve for x
    x = 26,154,005,284/124,866
  6. Step 6: Final answer
    x = 209,456.58

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.