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Finding the Third Proportional to 51,472 and 111,064

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Solution

The third proportional to 51,472 and 111,064 is: 239,648.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,472 : 111,064 = 111,064 : x
  2. Step 2: Convert to fraction form
    51,472/111,064 = 111,064/x
  3. Step 3: Cross multiply
    51,472x = 111,064 × 111,064
  4. Step 4: Simplify right side
    51,472x = 12,335,212,096
  5. Step 5: Solve for x
    x = 12,335,212,096/51,472
  6. Step 6: Final answer
    x = 239,648.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.