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Finding the Third Proportional to 101,744 and 149,674

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Solution

The third proportional to 101,744 and 149,674 is: 220,183.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,744 : 149,674 = 149,674 : x
  2. Step 2: Convert to fraction form
    101,744/149,674 = 149,674/x
  3. Step 3: Cross multiply
    101,744x = 149,674 × 149,674
  4. Step 4: Simplify right side
    101,744x = 22,402,306,276
  5. Step 5: Solve for x
    x = 22,402,306,276/101,744
  6. Step 6: Final answer
    x = 220,183.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.