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Finding the Third Proportional to 121,857 and 181,767

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Solution

The third proportional to 121,857 and 181,767 is: 271,131.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,857 : 181,767 = 181,767 : x
  2. Step 2: Convert to fraction form
    121,857/181,767 = 181,767/x
  3. Step 3: Cross multiply
    121,857x = 181,767 × 181,767
  4. Step 4: Simplify right side
    121,857x = 33,039,242,289
  5. Step 5: Solve for x
    x = 33,039,242,289/121,857
  6. Step 6: Final answer
    x = 271,131.26

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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.