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Finding the Third Proportional to 82,612.13 and 131,299.31

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Solution

The third proportional to 82,612.13 and 131,299.31 is: 208,680.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,612.13 : 131,299.31 = 131,299.31 : x
  2. Step 2: Convert to fraction form
    82,612.13/131,299.31 = 131,299.31/x
  3. Step 3: Cross multiply
    82,612.13x = 131,299.31 × 131,299.31
  4. Step 4: Simplify right side
    82,612.13x = 17,239,509,462.97
  5. Step 5: Solve for x
    x = 17,239,509,462.97/82,612.13
  6. Step 6: Final answer
    x = 208,680.14

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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.