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Finding the Third Proportional to 44,578 and 95,684

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Solution

The third proportional to 44,578 and 95,684 is: 205,379.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,578 : 95,684 = 95,684 : x
  2. Step 2: Convert to fraction form
    44,578/95,684 = 95,684/x
  3. Step 3: Cross multiply
    44,578x = 95,684 × 95,684
  4. Step 4: Simplify right side
    44,578x = 9,155,427,856
  5. Step 5: Solve for x
    x = 9,155,427,856/44,578
  6. Step 6: Final answer
    x = 205,379.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.