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Finding the Third Proportional to 48,179 and 75,684

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Solution

The third proportional to 48,179 and 75,684 is: 118,891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,179 : 75,684 = 75,684 : x
  2. Step 2: Convert to fraction form
    48,179/75,684 = 75,684/x
  3. Step 3: Cross multiply
    48,179x = 75,684 × 75,684
  4. Step 4: Simplify right side
    48,179x = 5,728,067,856
  5. Step 5: Solve for x
    x = 5,728,067,856/48,179
  6. Step 6: Final answer
    x = 118,891.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.