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Finding the Third Proportional to 82,614 and 131,302.31

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Solution

The third proportional to 82,614 and 131,302.31 is: 208,684.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,614 : 131,302.31 = 131,302.31 : x
  2. Step 2: Convert to fraction form
    82,614/131,302.31 = 131,302.31/x
  3. Step 3: Cross multiply
    82,614x = 131,302.31 × 131,302.31
  4. Step 4: Simplify right side
    82,614x = 17,240,297,267.85
  5. Step 5: Solve for x
    x = 17,240,297,267.85/82,614
  6. Step 6: Final answer
    x = 208,684.94

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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.