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Finding the Third Proportional to 49,442 and 76,619

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Solution

The third proportional to 49,442 and 76,619 is: 118,734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,442 : 76,619 = 76,619 : x
  2. Step 2: Convert to fraction form
    49,442/76,619 = 76,619/x
  3. Step 3: Cross multiply
    49,442x = 76,619 × 76,619
  4. Step 4: Simplify right side
    49,442x = 5,870,471,161
  5. Step 5: Solve for x
    x = 5,870,471,161/49,442
  6. Step 6: Final answer
    x = 118,734.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.