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Finding the Third Proportional to 47,642 and 71,226

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Solution

The third proportional to 47,642 and 71,226 is: 106,484.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,642 : 71,226 = 71,226 : x
  2. Step 2: Convert to fraction form
    47,642/71,226 = 71,226/x
  3. Step 3: Cross multiply
    47,642x = 71,226 × 71,226
  4. Step 4: Simplify right side
    47,642x = 5,073,143,076
  5. Step 5: Solve for x
    x = 5,073,143,076/47,642
  6. Step 6: Final answer
    x = 106,484.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.