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Finding the Third Proportional to 82,540.13 and 131,298.75

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Solution

The third proportional to 82,540.13 and 131,298.75 is: 208,860.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,540.13 : 131,298.75 = 131,298.75 : x
  2. Step 2: Convert to fraction form
    82,540.13/131,298.75 = 131,298.75/x
  3. Step 3: Cross multiply
    82,540.13x = 131,298.75 × 131,298.75
  4. Step 4: Simplify right side
    82,540.13x = 17,239,361,751.56
  5. Step 5: Solve for x
    x = 17,239,361,751.56/82,540.13
  6. Step 6: Final answer
    x = 208,860.38

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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.