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Finding the Third Proportional to 47,326 and 101,214

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Solution

The third proportional to 47,326 and 101,214 is: 216,461.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,326 : 101,214 = 101,214 : x
  2. Step 2: Convert to fraction form
    47,326/101,214 = 101,214/x
  3. Step 3: Cross multiply
    47,326x = 101,214 × 101,214
  4. Step 4: Simplify right side
    47,326x = 10,244,273,796
  5. Step 5: Solve for x
    x = 10,244,273,796/47,326
  6. Step 6: Final answer
    x = 216,461.86

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Why These Related Problems?

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