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Finding the Third Proportional to 121,759 and 182,143

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Solution

The third proportional to 121,759 and 182,143 is: 272,473.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,759 : 182,143 = 182,143 : x
  2. Step 2: Convert to fraction form
    121,759/182,143 = 182,143/x
  3. Step 3: Cross multiply
    121,759x = 182,143 × 182,143
  4. Step 4: Simplify right side
    121,759x = 33,176,072,449
  5. Step 5: Solve for x
    x = 33,176,072,449/121,759
  6. Step 6: Final answer
    x = 272,473.27

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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.