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Finding the Third Proportional to 121,641.75 and 182,280.38

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Solution

The third proportional to 121,641.75 and 182,280.38 is: 273,147.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,641.75 : 182,280.38 = 182,280.38 : x
  2. Step 2: Convert to fraction form
    121,641.75/182,280.38 = 182,280.38/x
  3. Step 3: Cross multiply
    121,641.75x = 182,280.38 × 182,280.38
  4. Step 4: Simplify right side
    121,641.75x = 33,226,135,110.14
  5. Step 5: Solve for x
    x = 33,226,135,110.14/121,641.75
  6. Step 6: Final answer
    x = 273,147.46

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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.