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Finding the Third Proportional to 82,815.75 and 131,347.13

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Solution

The third proportional to 82,815.75 and 131,347.13 is: 208,318.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,815.75 : 131,347.13 = 131,347.13 : x
  2. Step 2: Convert to fraction form
    82,815.75/131,347.13 = 131,347.13/x
  3. Step 3: Cross multiply
    82,815.75x = 131,347.13 × 131,347.13
  4. Step 4: Simplify right side
    82,815.75x = 17,252,067,245.77
  5. Step 5: Solve for x
    x = 17,252,067,245.77/82,815.75
  6. Step 6: Final answer
    x = 208,318.67

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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.