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Finding the Third Proportional to 124,401 and 269,799

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Solution

The third proportional to 124,401 and 269,799 is: 585,135.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,401 : 269,799 = 269,799 : x
  2. Step 2: Convert to fraction form
    124,401/269,799 = 269,799/x
  3. Step 3: Cross multiply
    124,401x = 269,799 × 269,799
  4. Step 4: Simplify right side
    124,401x = 72,791,500,401
  5. Step 5: Solve for x
    x = 72,791,500,401/124,401
  6. Step 6: Final answer
    x = 585,135.97

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