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Finding the Third Proportional to 101,739 and 149,668

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Solution

The third proportional to 101,739 and 149,668 is: 220,176.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,739 : 149,668 = 149,668 : x
  2. Step 2: Convert to fraction form
    101,739/149,668 = 149,668/x
  3. Step 3: Cross multiply
    101,739x = 149,668 × 149,668
  4. Step 4: Simplify right side
    101,739x = 22,400,510,224
  5. Step 5: Solve for x
    x = 22,400,510,224/101,739
  6. Step 6: Final answer
    x = 220,176.24

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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.