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Finding the Third Proportional to 49,285 and 77,211

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Solution

The third proportional to 49,285 and 77,211 is: 120,960.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,285 : 77,211 = 77,211 : x
  2. Step 2: Convert to fraction form
    49,285/77,211 = 77,211/x
  3. Step 3: Cross multiply
    49,285x = 77,211 × 77,211
  4. Step 4: Simplify right side
    49,285x = 5,961,538,521
  5. Step 5: Solve for x
    x = 5,961,538,521/49,285
  6. Step 6: Final answer
    x = 120,960.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.