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Finding the Third Proportional to 121,888 and 182,832

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Solution

The third proportional to 121,888 and 182,832 is: 274,248

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,888 : 182,832 = 182,832 : x
  2. Step 2: Convert to fraction form
    121,888/182,832 = 182,832/x
  3. Step 3: Cross multiply
    121,888x = 182,832 × 182,832
  4. Step 4: Simplify right side
    121,888x = 33,427,540,224
  5. Step 5: Solve for x
    x = 33,427,540,224/121,888
  6. Step 6: Final answer
    x = 274,248

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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.