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Finding the Third Proportional to 47,626 and 101,813

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Solution

The third proportional to 47,626 and 101,813 is: 217,651.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,626 : 101,813 = 101,813 : x
  2. Step 2: Convert to fraction form
    47,626/101,813 = 101,813/x
  3. Step 3: Cross multiply
    47,626x = 101,813 × 101,813
  4. Step 4: Simplify right side
    47,626x = 10,365,886,969
  5. Step 5: Solve for x
    x = 10,365,886,969/47,626
  6. Step 6: Final answer
    x = 217,651.85

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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.