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Finding the Third Proportional to 82,789.50 and 131,150.25

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Solution

The third proportional to 82,789.50 and 131,150.25 is: 207,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,789.50 : 131,150.25 = 131,150.25 : x
  2. Step 2: Convert to fraction form
    82,789.50/131,150.25 = 131,150.25/x
  3. Step 3: Cross multiply
    82,789.50x = 131,150.25 × 131,150.25
  4. Step 4: Simplify right side
    82,789.50x = 17,200,388,075.06
  5. Step 5: Solve for x
    x = 17,200,388,075.06/82,789.50
  6. Step 6: Final answer
    x = 207,760.50

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