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Finding the Third Proportional to 122,536 and 187,408

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Solution

The third proportional to 122,536 and 187,408 is: 286,624

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,536 : 187,408 = 187,408 : x
  2. Step 2: Convert to fraction form
    122,536/187,408 = 187,408/x
  3. Step 3: Cross multiply
    122,536x = 187,408 × 187,408
  4. Step 4: Simplify right side
    122,536x = 35,121,758,464
  5. Step 5: Solve for x
    x = 35,121,758,464/122,536
  6. Step 6: Final answer
    x = 286,624

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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.