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Finding the Third Proportional to 47,163 and 101,074

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Solution

The third proportional to 47,163 and 101,074 is: 216,609.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,163 : 101,074 = 101,074 : x
  2. Step 2: Convert to fraction form
    47,163/101,074 = 101,074/x
  3. Step 3: Cross multiply
    47,163x = 101,074 × 101,074
  4. Step 4: Simplify right side
    47,163x = 10,215,953,476
  5. Step 5: Solve for x
    x = 10,215,953,476/47,163
  6. Step 6: Final answer
    x = 216,609.49

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.