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Finding the Third Proportional to 51,132 and 74,976

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Solution

The third proportional to 51,132 and 74,976 is: 109,938.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,132 : 74,976 = 74,976 : x
  2. Step 2: Convert to fraction form
    51,132/74,976 = 74,976/x
  3. Step 3: Cross multiply
    51,132x = 74,976 × 74,976
  4. Step 4: Simplify right side
    51,132x = 5,621,400,576
  5. Step 5: Solve for x
    x = 5,621,400,576/51,132
  6. Step 6: Final answer
    x = 109,938.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.