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Finding the Third Proportional to 124,401 and 266,551

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Solution

The third proportional to 124,401 and 266,551 is: 571,132.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,401 : 266,551 = 266,551 : x
  2. Step 2: Convert to fraction form
    124,401/266,551 = 266,551/x
  3. Step 3: Cross multiply
    124,401x = 266,551 × 266,551
  4. Step 4: Simplify right side
    124,401x = 71,049,435,601
  5. Step 5: Solve for x
    x = 71,049,435,601/124,401
  6. Step 6: Final answer
    x = 571,132.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.