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Finding the Third Proportional to 48,216 and 104,451

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Solution

The third proportional to 48,216 and 104,451 is: 226,273.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,216 : 104,451 = 104,451 : x
  2. Step 2: Convert to fraction form
    48,216/104,451 = 104,451/x
  3. Step 3: Cross multiply
    48,216x = 104,451 × 104,451
  4. Step 4: Simplify right side
    48,216x = 10,910,011,401
  5. Step 5: Solve for x
    x = 10,910,011,401/48,216
  6. Step 6: Final answer
    x = 226,273.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.