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Finding the Third Proportional to 50,000 and 109,216

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Solution

The third proportional to 50,000 and 109,216 is: 238,562.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,000 : 109,216 = 109,216 : x
  2. Step 2: Convert to fraction form
    50,000/109,216 = 109,216/x
  3. Step 3: Cross multiply
    50,000x = 109,216 × 109,216
  4. Step 4: Simplify right side
    50,000x = 11,928,134,656
  5. Step 5: Solve for x
    x = 11,928,134,656/50,000
  6. Step 6: Final answer
    x = 238,562.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.