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Finding the Third Proportional to 47,529 and 100,863

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Solution

The third proportional to 47,529 and 100,863 is: 214,045.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,529 : 100,863 = 100,863 : x
  2. Step 2: Convert to fraction form
    47,529/100,863 = 100,863/x
  3. Step 3: Cross multiply
    47,529x = 100,863 × 100,863
  4. Step 4: Simplify right side
    47,529x = 10,173,344,769
  5. Step 5: Solve for x
    x = 10,173,344,769/47,529
  6. Step 6: Final answer
    x = 214,045.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.