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Finding the Third Proportional to 47,802 and 75,944

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Solution

The third proportional to 47,802 and 75,944 is: 120,653.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,802 : 75,944 = 75,944 : x
  2. Step 2: Convert to fraction form
    47,802/75,944 = 75,944/x
  3. Step 3: Cross multiply
    47,802x = 75,944 × 75,944
  4. Step 4: Simplify right side
    47,802x = 5,767,491,136
  5. Step 5: Solve for x
    x = 5,767,491,136/47,802
  6. Step 6: Final answer
    x = 120,653.76

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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.