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Finding the Third Proportional to 74,251.69 and 173,259

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Solution

The third proportional to 74,251.69 and 173,259 is: 404,282.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,251.69 : 173,259 = 173,259 : x
  2. Step 2: Convert to fraction form
    74,251.69/173,259 = 173,259/x
  3. Step 3: Cross multiply
    74,251.69x = 173,259 × 173,259
  4. Step 4: Simplify right side
    74,251.69x = 30,018,681,081
  5. Step 5: Solve for x
    x = 30,018,681,081/74,251.69
  6. Step 6: Final answer
    x = 404,282.81

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.