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Finding the Third Proportional to 121,669 and 181,494

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Solution

The third proportional to 121,669 and 181,494 is: 270,735.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,669 : 181,494 = 181,494 : x
  2. Step 2: Convert to fraction form
    121,669/181,494 = 181,494/x
  3. Step 3: Cross multiply
    121,669x = 181,494 × 181,494
  4. Step 4: Simplify right side
    121,669x = 32,940,072,036
  5. Step 5: Solve for x
    x = 32,940,072,036/121,669
  6. Step 6: Final answer
    x = 270,735.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.