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Finding the Third Proportional to 82,782.75 and 131,169.75

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Solution

The third proportional to 82,782.75 and 131,169.75 is: 207,839.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,782.75 : 131,169.75 = 131,169.75 : x
  2. Step 2: Convert to fraction form
    82,782.75/131,169.75 = 131,169.75/x
  3. Step 3: Cross multiply
    82,782.75x = 131,169.75 × 131,169.75
  4. Step 4: Simplify right side
    82,782.75x = 17,205,503,315.06
  5. Step 5: Solve for x
    x = 17,205,503,315.06/82,782.75
  6. Step 6: Final answer
    x = 207,839.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.