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Finding the Third Proportional to 49,084 and 73,558

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Solution

The third proportional to 49,084 and 73,558 is: 110,235.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,084 : 73,558 = 73,558 : x
  2. Step 2: Convert to fraction form
    49,084/73,558 = 73,558/x
  3. Step 3: Cross multiply
    49,084x = 73,558 × 73,558
  4. Step 4: Simplify right side
    49,084x = 5,410,779,364
  5. Step 5: Solve for x
    x = 5,410,779,364/49,084
  6. Step 6: Final answer
    x = 110,235.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.