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Finding the Third Proportional to 49,414 and 73,985

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Solution

The third proportional to 49,414 and 73,985 is: 110,773.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,414 : 73,985 = 73,985 : x
  2. Step 2: Convert to fraction form
    49,414/73,985 = 73,985/x
  3. Step 3: Cross multiply
    49,414x = 73,985 × 73,985
  4. Step 4: Simplify right side
    49,414x = 5,473,780,225
  5. Step 5: Solve for x
    x = 5,473,780,225/49,414
  6. Step 6: Final answer
    x = 110,773.87

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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.