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Finding the Third Proportional to 52,224 and 107,213

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Solution

The third proportional to 52,224 and 107,213 is: 220,102.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,224 : 107,213 = 107,213 : x
  2. Step 2: Convert to fraction form
    52,224/107,213 = 107,213/x
  3. Step 3: Cross multiply
    52,224x = 107,213 × 107,213
  4. Step 4: Simplify right side
    52,224x = 11,494,627,369
  5. Step 5: Solve for x
    x = 11,494,627,369/52,224
  6. Step 6: Final answer
    x = 220,102.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.