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Finding the Third Proportional to 47,922 and 101,991

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Solution

The third proportional to 47,922 and 101,991 is: 217,064.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,922 : 101,991 = 101,991 : x
  2. Step 2: Convert to fraction form
    47,922/101,991 = 101,991/x
  3. Step 3: Cross multiply
    47,922x = 101,991 × 101,991
  4. Step 4: Simplify right side
    47,922x = 10,402,164,081
  5. Step 5: Solve for x
    x = 10,402,164,081/47,922
  6. Step 6: Final answer
    x = 217,064.48

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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.