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Finding the Third Proportional to 82,604.25 and 131,287.50

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Solution

The third proportional to 82,604.25 and 131,287.50 is: 208,662.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,604.25 : 131,287.50 = 131,287.50 : x
  2. Step 2: Convert to fraction form
    82,604.25/131,287.50 = 131,287.50/x
  3. Step 3: Cross multiply
    82,604.25x = 131,287.50 × 131,287.50
  4. Step 4: Simplify right side
    82,604.25x = 17,236,407,656.25
  5. Step 5: Solve for x
    x = 17,236,407,656.25/82,604.25
  6. Step 6: Final answer
    x = 208,662.48

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.