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Finding the Third Proportional to 73,771 and 158,289

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Solution

The third proportional to 73,771 and 158,289 is: 339,637.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,771 : 158,289 = 158,289 : x
  2. Step 2: Convert to fraction form
    73,771/158,289 = 158,289/x
  3. Step 3: Cross multiply
    73,771x = 158,289 × 158,289
  4. Step 4: Simplify right side
    73,771x = 25,055,407,521
  5. Step 5: Solve for x
    x = 25,055,407,521/73,771
  6. Step 6: Final answer
    x = 339,637.63

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.