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Finding the Third Proportional to 121,836 and 182,754

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Solution

The third proportional to 121,836 and 182,754 is: 274,131

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,836 : 182,754 = 182,754 : x
  2. Step 2: Convert to fraction form
    121,836/182,754 = 182,754/x
  3. Step 3: Cross multiply
    121,836x = 182,754 × 182,754
  4. Step 4: Simplify right side
    121,836x = 33,399,024,516
  5. Step 5: Solve for x
    x = 33,399,024,516/121,836
  6. Step 6: Final answer
    x = 274,131

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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.