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Finding the Third Proportional to 48,372 and 76,956

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Solution

The third proportional to 48,372 and 76,956 is: 122,430.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,372 : 76,956 = 76,956 : x
  2. Step 2: Convert to fraction form
    48,372/76,956 = 76,956/x
  3. Step 3: Cross multiply
    48,372x = 76,956 × 76,956
  4. Step 4: Simplify right side
    48,372x = 5,922,225,936
  5. Step 5: Solve for x
    x = 5,922,225,936/48,372
  6. Step 6: Final answer
    x = 122,430.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.