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Finding the Third Proportional to 102,744 and 150,561

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Solution

The third proportional to 102,744 and 150,561 is: 220,632.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,744 : 150,561 = 150,561 : x
  2. Step 2: Convert to fraction form
    102,744/150,561 = 150,561/x
  3. Step 3: Cross multiply
    102,744x = 150,561 × 150,561
  4. Step 4: Simplify right side
    102,744x = 22,668,614,721
  5. Step 5: Solve for x
    x = 22,668,614,721/102,744
  6. Step 6: Final answer
    x = 220,632.00

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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.