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Finding the Third Proportional to 51,727 and 73,200

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Solution

The third proportional to 51,727 and 73,200 is: 103,586.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,727 : 73,200 = 73,200 : x
  2. Step 2: Convert to fraction form
    51,727/73,200 = 73,200/x
  3. Step 3: Cross multiply
    51,727x = 73,200 × 73,200
  4. Step 4: Simplify right side
    51,727x = 5,358,240,000
  5. Step 5: Solve for x
    x = 5,358,240,000/51,727
  6. Step 6: Final answer
    x = 103,586.91

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.