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Finding the Third Proportional to 55,289.25 and 82,845.75

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Solution

The third proportional to 55,289.25 and 82,845.75 is: 124,136.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,289.25 : 82,845.75 = 82,845.75 : x
  2. Step 2: Convert to fraction form
    55,289.25/82,845.75 = 82,845.75/x
  3. Step 3: Cross multiply
    55,289.25x = 82,845.75 × 82,845.75
  4. Step 4: Simplify right side
    55,289.25x = 6,863,418,293.06
  5. Step 5: Solve for x
    x = 6,863,418,293.06/55,289.25
  6. Step 6: Final answer
    x = 124,136.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.