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Finding the Third Proportional to 82,791.81 and 131,313.02

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Solution

The third proportional to 82,791.81 and 131,313.02 is: 208,270.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,791.81 : 131,313.02 = 131,313.02 : x
  2. Step 2: Convert to fraction form
    82,791.81/131,313.02 = 131,313.02/x
  3. Step 3: Cross multiply
    82,791.81x = 131,313.02 × 131,313.02
  4. Step 4: Simplify right side
    82,791.81x = 17,243,110,124.30
  5. Step 5: Solve for x
    x = 17,243,110,124.30/82,791.81
  6. Step 6: Final answer
    x = 208,270.73

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Why These Related Problems?

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