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Finding the Third Proportional to 41,420.25 and 86,532.75

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Solution

The third proportional to 41,420.25 and 86,532.75 is: 180,779.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,420.25 : 86,532.75 = 86,532.75 : x
  2. Step 2: Convert to fraction form
    41,420.25/86,532.75 = 86,532.75/x
  3. Step 3: Cross multiply
    41,420.25x = 86,532.75 × 86,532.75
  4. Step 4: Simplify right side
    41,420.25x = 7,487,916,822.56
  5. Step 5: Solve for x
    x = 7,487,916,822.56/41,420.25
  6. Step 6: Final answer
    x = 180,779.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.