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Finding the Third Proportional to 47,814 and 101,097

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Solution

The third proportional to 47,814 and 101,097 is: 213,757.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,814 : 101,097 = 101,097 : x
  2. Step 2: Convert to fraction form
    47,814/101,097 = 101,097/x
  3. Step 3: Cross multiply
    47,814x = 101,097 × 101,097
  4. Step 4: Simplify right side
    47,814x = 10,220,603,409
  5. Step 5: Solve for x
    x = 10,220,603,409/47,814
  6. Step 6: Final answer
    x = 213,757.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.