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Finding the Third Proportional to 49,774 and 75,450

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Solution

The third proportional to 49,774 and 75,450 is: 114,371.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,774 : 75,450 = 75,450 : x
  2. Step 2: Convert to fraction form
    49,774/75,450 = 75,450/x
  3. Step 3: Cross multiply
    49,774x = 75,450 × 75,450
  4. Step 4: Simplify right side
    49,774x = 5,692,702,500
  5. Step 5: Solve for x
    x = 5,692,702,500/49,774
  6. Step 6: Final answer
    x = 114,371.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.