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Finding the Third Proportional to 48,171 and 74,099.25

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Solution

The third proportional to 48,171 and 74,099.25 is: 113,983.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,171 : 74,099.25 = 74,099.25 : x
  2. Step 2: Convert to fraction form
    48,171/74,099.25 = 74,099.25/x
  3. Step 3: Cross multiply
    48,171x = 74,099.25 × 74,099.25
  4. Step 4: Simplify right side
    48,171x = 5,490,698,850.56
  5. Step 5: Solve for x
    x = 5,490,698,850.56/48,171
  6. Step 6: Final answer
    x = 113,983.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.