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Finding the Third Proportional to 45,586 and 95,779

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Solution

The third proportional to 45,586 and 95,779 is: 201,237.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,586 : 95,779 = 95,779 : x
  2. Step 2: Convert to fraction form
    45,586/95,779 = 95,779/x
  3. Step 3: Cross multiply
    45,586x = 95,779 × 95,779
  4. Step 4: Simplify right side
    45,586x = 9,173,616,841
  5. Step 5: Solve for x
    x = 9,173,616,841/45,586
  6. Step 6: Final answer
    x = 201,237.59

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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.