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Finding the Third Proportional to 49,261 and 106,777

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Solution

The third proportional to 49,261 and 106,777 is: 231,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,261 : 106,777 = 106,777 : x
  2. Step 2: Convert to fraction form
    49,261/106,777 = 106,777/x
  3. Step 3: Cross multiply
    49,261x = 106,777 × 106,777
  4. Step 4: Simplify right side
    49,261x = 11,401,327,729
  5. Step 5: Solve for x
    x = 11,401,327,729/49,261
  6. Step 6: Final answer
    x = 231,447.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.