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Finding the Third Proportional to 124,747 and 274,401

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Solution

The third proportional to 124,747 and 274,401 is: 603,588.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,747 : 274,401 = 274,401 : x
  2. Step 2: Convert to fraction form
    124,747/274,401 = 274,401/x
  3. Step 3: Cross multiply
    124,747x = 274,401 × 274,401
  4. Step 4: Simplify right side
    124,747x = 75,295,908,801
  5. Step 5: Solve for x
    x = 75,295,908,801/124,747
  6. Step 6: Final answer
    x = 603,588.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.