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Finding the Third Proportional to 121,700.25 and 181,536.75

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Solution

The third proportional to 121,700.25 and 181,536.75 is: 270,793.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,700.25 : 181,536.75 = 181,536.75 : x
  2. Step 2: Convert to fraction form
    121,700.25/181,536.75 = 181,536.75/x
  3. Step 3: Cross multiply
    121,700.25x = 181,536.75 × 181,536.75
  4. Step 4: Simplify right side
    121,700.25x = 32,955,591,600.56
  5. Step 5: Solve for x
    x = 32,955,591,600.56/121,700.25
  6. Step 6: Final answer
    x = 270,793.13

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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.