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Finding the Third Proportional to 86,330.25 and 131,295.38

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Solution

The third proportional to 86,330.25 and 131,295.38 is: 199,680.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,330.25 : 131,295.38 = 131,295.38 : x
  2. Step 2: Convert to fraction form
    86,330.25/131,295.38 = 131,295.38/x
  3. Step 3: Cross multiply
    86,330.25x = 131,295.38 × 131,295.38
  4. Step 4: Simplify right side
    86,330.25x = 17,238,475,496.39
  5. Step 5: Solve for x
    x = 17,238,475,496.39/86,330.25
  6. Step 6: Final answer
    x = 199,680.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.