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Finding the Third Proportional to 100,501 and 150,643

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Solution

The third proportional to 100,501 and 150,643 is: 225,801.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,501 : 150,643 = 150,643 : x
  2. Step 2: Convert to fraction form
    100,501/150,643 = 150,643/x
  3. Step 3: Cross multiply
    100,501x = 150,643 × 150,643
  4. Step 4: Simplify right side
    100,501x = 22,693,313,449
  5. Step 5: Solve for x
    x = 22,693,313,449/100,501
  6. Step 6: Final answer
    x = 225,801.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.