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Finding the Third Proportional to 50,519 and 75,780

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Solution

The third proportional to 50,519 and 75,780 is: 113,672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,519 : 75,780 = 75,780 : x
  2. Step 2: Convert to fraction form
    50,519/75,780 = 75,780/x
  3. Step 3: Cross multiply
    50,519x = 75,780 × 75,780
  4. Step 4: Simplify right side
    50,519x = 5,742,608,400
  5. Step 5: Solve for x
    x = 5,742,608,400/50,519
  6. Step 6: Final answer
    x = 113,672.25

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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.