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Finding the Third Proportional to 60,372 and 131,123

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Solution

The third proportional to 60,372 and 131,123 is: 284,788.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,372 : 131,123 = 131,123 : x
  2. Step 2: Convert to fraction form
    60,372/131,123 = 131,123/x
  3. Step 3: Cross multiply
    60,372x = 131,123 × 131,123
  4. Step 4: Simplify right side
    60,372x = 17,193,241,129
  5. Step 5: Solve for x
    x = 17,193,241,129/60,372
  6. Step 6: Final answer
    x = 284,788.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.