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Finding the Third Proportional to 51,533 and 108,602

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Solution

The third proportional to 51,533 and 108,602 is: 228,870.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,533 : 108,602 = 108,602 : x
  2. Step 2: Convert to fraction form
    51,533/108,602 = 108,602/x
  3. Step 3: Cross multiply
    51,533x = 108,602 × 108,602
  4. Step 4: Simplify right side
    51,533x = 11,794,394,404
  5. Step 5: Solve for x
    x = 11,794,394,404/51,533
  6. Step 6: Final answer
    x = 228,870.71

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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.