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Finding the Third Proportional to 133,408 and 187,632

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Solution

The third proportional to 133,408 and 187,632 is: 263,895.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,408 : 187,632 = 187,632 : x
  2. Step 2: Convert to fraction form
    133,408/187,632 = 187,632/x
  3. Step 3: Cross multiply
    133,408x = 187,632 × 187,632
  4. Step 4: Simplify right side
    133,408x = 35,205,767,424
  5. Step 5: Solve for x
    x = 35,205,767,424/133,408
  6. Step 6: Final answer
    x = 263,895.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.