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Finding the Third Proportional to 121,517 and 182,273

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Solution

The third proportional to 121,517 and 182,273 is: 273,405.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,517 : 182,273 = 182,273 : x
  2. Step 2: Convert to fraction form
    121,517/182,273 = 182,273/x
  3. Step 3: Cross multiply
    121,517x = 182,273 × 182,273
  4. Step 4: Simplify right side
    121,517x = 33,223,446,529
  5. Step 5: Solve for x
    x = 33,223,446,529/121,517
  6. Step 6: Final answer
    x = 273,405.75

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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.