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Finding the Third Proportional to 47,815 and 101,102

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Solution

The third proportional to 47,815 and 101,102 is: 213,774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,815 : 101,102 = 101,102 : x
  2. Step 2: Convert to fraction form
    47,815/101,102 = 101,102/x
  3. Step 3: Cross multiply
    47,815x = 101,102 × 101,102
  4. Step 4: Simplify right side
    47,815x = 10,221,614,404
  5. Step 5: Solve for x
    x = 10,221,614,404/47,815
  6. Step 6: Final answer
    x = 213,774.22

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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.