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Finding the Third Proportional to 52,337 and 113,098

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Solution

The third proportional to 52,337 and 113,098 is: 244,399.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,337 : 113,098 = 113,098 : x
  2. Step 2: Convert to fraction form
    52,337/113,098 = 113,098/x
  3. Step 3: Cross multiply
    52,337x = 113,098 × 113,098
  4. Step 4: Simplify right side
    52,337x = 12,791,157,604
  5. Step 5: Solve for x
    x = 12,791,157,604/52,337
  6. Step 6: Final answer
    x = 244,399.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.