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Finding the Third Proportional to 45,584 and 95,775

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Solution

The third proportional to 45,584 and 95,775 is: 201,229.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,584 : 95,775 = 95,775 : x
  2. Step 2: Convert to fraction form
    45,584/95,775 = 95,775/x
  3. Step 3: Cross multiply
    45,584x = 95,775 × 95,775
  4. Step 4: Simplify right side
    45,584x = 9,172,850,625
  5. Step 5: Solve for x
    x = 9,172,850,625/45,584
  6. Step 6: Final answer
    x = 201,229.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.