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Finding the Third Proportional to 121,356 and 181,098

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Solution

The third proportional to 121,356 and 181,098 is: 270,250.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,356 : 181,098 = 181,098 : x
  2. Step 2: Convert to fraction form
    121,356/181,098 = 181,098/x
  3. Step 3: Cross multiply
    121,356x = 181,098 × 181,098
  4. Step 4: Simplify right side
    121,356x = 32,796,485,604
  5. Step 5: Solve for x
    x = 32,796,485,604/121,356
  6. Step 6: Final answer
    x = 270,250.22

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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.