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Finding the Third Proportional to 44,534 and 68,976

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Solution

The third proportional to 44,534 and 68,976 is: 106,832.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,534 : 68,976 = 68,976 : x
  2. Step 2: Convert to fraction form
    44,534/68,976 = 68,976/x
  3. Step 3: Cross multiply
    44,534x = 68,976 × 68,976
  4. Step 4: Simplify right side
    44,534x = 4,757,688,576
  5. Step 5: Solve for x
    x = 4,757,688,576/44,534
  6. Step 6: Final answer
    x = 106,832.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.