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Finding the Third Proportional to 121,429.76 and 182,144.64

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Solution

The third proportional to 121,429.76 and 182,144.64 is: 273,216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,429.76 : 182,144.64 = 182,144.64 : x
  2. Step 2: Convert to fraction form
    121,429.76/182,144.64 = 182,144.64/x
  3. Step 3: Cross multiply
    121,429.76x = 182,144.64 × 182,144.64
  4. Step 4: Simplify right side
    121,429.76x = 33,176,668,685.41
  5. Step 5: Solve for x
    x = 33,176,668,685.41/121,429.76
  6. Step 6: Final answer
    x = 273,216.96

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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.