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Finding the Third Proportional to 51,910.88 and 74,232.28

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Solution

The third proportional to 51,910.88 and 74,232.28 is: 106,151.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,910.88 : 74,232.28 = 74,232.28 : x
  2. Step 2: Convert to fraction form
    51,910.88/74,232.28 = 74,232.28/x
  3. Step 3: Cross multiply
    51,910.88x = 74,232.28 × 74,232.28
  4. Step 4: Simplify right side
    51,910.88x = 5,510,431,579.58
  5. Step 5: Solve for x
    x = 5,510,431,579.58/51,910.88
  6. Step 6: Final answer
    x = 106,151.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.