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Finding the Third Proportional to 49,522 and 108,401

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Solution

The third proportional to 49,522 and 108,401 is: 237,283.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,522 : 108,401 = 108,401 : x
  2. Step 2: Convert to fraction form
    49,522/108,401 = 108,401/x
  3. Step 3: Cross multiply
    49,522x = 108,401 × 108,401
  4. Step 4: Simplify right side
    49,522x = 11,750,776,801
  5. Step 5: Solve for x
    x = 11,750,776,801/49,522
  6. Step 6: Final answer
    x = 237,283.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.