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Finding the Third Proportional to 52,488 and 109,404

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Solution

The third proportional to 52,488 and 109,404 is: 228,037.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,488 : 109,404 = 109,404 : x
  2. Step 2: Convert to fraction form
    52,488/109,404 = 109,404/x
  3. Step 3: Cross multiply
    52,488x = 109,404 × 109,404
  4. Step 4: Simplify right side
    52,488x = 11,969,235,216
  5. Step 5: Solve for x
    x = 11,969,235,216/52,488
  6. Step 6: Final answer
    x = 228,037.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.