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Finding the Third Proportional to 36,216 and 77,211

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Solution

The third proportional to 36,216 and 77,211 is: 164,610.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,216 : 77,211 = 77,211 : x
  2. Step 2: Convert to fraction form
    36,216/77,211 = 77,211/x
  3. Step 3: Cross multiply
    36,216x = 77,211 × 77,211
  4. Step 4: Simplify right side
    36,216x = 5,961,538,521
  5. Step 5: Solve for x
    x = 5,961,538,521/36,216
  6. Step 6: Final answer
    x = 164,610.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.