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Finding the Third Proportional to 121,668 and 182,015

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Solution

The third proportional to 121,668 and 182,015 is: 272,293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,668 : 182,015 = 182,015 : x
  2. Step 2: Convert to fraction form
    121,668/182,015 = 182,015/x
  3. Step 3: Cross multiply
    121,668x = 182,015 × 182,015
  4. Step 4: Simplify right side
    121,668x = 33,129,460,225
  5. Step 5: Solve for x
    x = 33,129,460,225/121,668
  6. Step 6: Final answer
    x = 272,293.95

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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.