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Finding the Third Proportional to 50,715 and 108,215

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Solution

The third proportional to 50,715 and 108,215 is: 230,907.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,715 : 108,215 = 108,215 : x
  2. Step 2: Convert to fraction form
    50,715/108,215 = 108,215/x
  3. Step 3: Cross multiply
    50,715x = 108,215 × 108,215
  4. Step 4: Simplify right side
    50,715x = 11,710,486,225
  5. Step 5: Solve for x
    x = 11,710,486,225/50,715
  6. Step 6: Final answer
    x = 230,907.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.