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Finding the Third Proportional to 50,497 and 106,217

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Solution

The third proportional to 50,497 and 106,217 is: 223,420.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,497 : 106,217 = 106,217 : x
  2. Step 2: Convert to fraction form
    50,497/106,217 = 106,217/x
  3. Step 3: Cross multiply
    50,497x = 106,217 × 106,217
  4. Step 4: Simplify right side
    50,497x = 11,282,051,089
  5. Step 5: Solve for x
    x = 11,282,051,089/50,497
  6. Step 6: Final answer
    x = 223,420.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.