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Finding the Third Proportional to 121,519 and 182,276

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Solution

The third proportional to 121,519 and 182,276 is: 273,410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,519 : 182,276 = 182,276 : x
  2. Step 2: Convert to fraction form
    121,519/182,276 = 182,276/x
  3. Step 3: Cross multiply
    121,519x = 182,276 × 182,276
  4. Step 4: Simplify right side
    121,519x = 33,224,540,176
  5. Step 5: Solve for x
    x = 33,224,540,176/121,519
  6. Step 6: Final answer
    x = 273,410.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.