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Finding the Third Proportional to 64,372 and 100,126

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Solution

The third proportional to 64,372 and 100,126 is: 155,738.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,372 : 100,126 = 100,126 : x
  2. Step 2: Convert to fraction form
    64,372/100,126 = 100,126/x
  3. Step 3: Cross multiply
    64,372x = 100,126 × 100,126
  4. Step 4: Simplify right side
    64,372x = 10,025,215,876
  5. Step 5: Solve for x
    x = 10,025,215,876/64,372
  6. Step 6: Final answer
    x = 155,738.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.