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Finding the Third Proportional to 50,478 and 75,717

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Solution

The third proportional to 50,478 and 75,717 is: 113,575.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,478 : 75,717 = 75,717 : x
  2. Step 2: Convert to fraction form
    50,478/75,717 = 75,717/x
  3. Step 3: Cross multiply
    50,478x = 75,717 × 75,717
  4. Step 4: Simplify right side
    50,478x = 5,733,064,089
  5. Step 5: Solve for x
    x = 5,733,064,089/50,478
  6. Step 6: Final answer
    x = 113,575.50

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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.