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Finding the Third Proportional to 86,504.25 and 185,940.75

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Solution

The third proportional to 86,504.25 and 185,940.75 is: 399,679.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,504.25 : 185,940.75 = 185,940.75 : x
  2. Step 2: Convert to fraction form
    86,504.25/185,940.75 = 185,940.75/x
  3. Step 3: Cross multiply
    86,504.25x = 185,940.75 × 185,940.75
  4. Step 4: Simplify right side
    86,504.25x = 34,573,962,510.56
  5. Step 5: Solve for x
    x = 34,573,962,510.56/86,504.25
  6. Step 6: Final answer
    x = 399,679.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.