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Finding the Third Proportional to 99,842 and 150,170

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Solution

The third proportional to 99,842 and 150,170 is: 225,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,842 : 150,170 = 150,170 : x
  2. Step 2: Convert to fraction form
    99,842/150,170 = 150,170/x
  3. Step 3: Cross multiply
    99,842x = 150,170 × 150,170
  4. Step 4: Simplify right side
    99,842x = 22,551,028,900
  5. Step 5: Solve for x
    x = 22,551,028,900/99,842
  6. Step 6: Final answer
    x = 225,867.16

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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.