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Finding the Third Proportional to 51,432 and 106,968

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Solution

The third proportional to 51,432 and 106,968 is: 222,471.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,432 : 106,968 = 106,968 : x
  2. Step 2: Convert to fraction form
    51,432/106,968 = 106,968/x
  3. Step 3: Cross multiply
    51,432x = 106,968 × 106,968
  4. Step 4: Simplify right side
    51,432x = 11,442,153,024
  5. Step 5: Solve for x
    x = 11,442,153,024/51,432
  6. Step 6: Final answer
    x = 222,471.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.