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Finding the Third Proportional to 121,608 and 181,924

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Solution

The third proportional to 121,608 and 181,924 is: 272,155.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,608 : 181,924 = 181,924 : x
  2. Step 2: Convert to fraction form
    121,608/181,924 = 181,924/x
  3. Step 3: Cross multiply
    121,608x = 181,924 × 181,924
  4. Step 4: Simplify right side
    121,608x = 33,096,341,776
  5. Step 5: Solve for x
    x = 33,096,341,776/121,608
  6. Step 6: Final answer
    x = 272,155.96

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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.