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Finding the Third Proportional to 45,116 and 67,494

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Solution

The third proportional to 45,116 and 67,494 is: 100,971.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,116 : 67,494 = 67,494 : x
  2. Step 2: Convert to fraction form
    45,116/67,494 = 67,494/x
  3. Step 3: Cross multiply
    45,116x = 67,494 × 67,494
  4. Step 4: Simplify right side
    45,116x = 4,555,440,036
  5. Step 5: Solve for x
    x = 4,555,440,036/45,116
  6. Step 6: Final answer
    x = 100,971.72

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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.