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Finding the Third Proportional to 122,531 and 187,401

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Solution

The third proportional to 122,531 and 187,401 is: 286,614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,531 : 187,401 = 187,401 : x
  2. Step 2: Convert to fraction form
    122,531/187,401 = 187,401/x
  3. Step 3: Cross multiply
    122,531x = 187,401 × 187,401
  4. Step 4: Simplify right side
    122,531x = 35,119,134,801
  5. Step 5: Solve for x
    x = 35,119,134,801/122,531
  6. Step 6: Final answer
    x = 286,614.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.