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Finding the Third Proportional to 85,863.75 and 186,512.63

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Solution

The third proportional to 85,863.75 and 186,512.63 is: 405,141.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,863.75 : 186,512.63 = 186,512.63 : x
  2. Step 2: Convert to fraction form
    85,863.75/186,512.63 = 186,512.63/x
  3. Step 3: Cross multiply
    85,863.75x = 186,512.63 × 186,512.63
  4. Step 4: Simplify right side
    85,863.75x = 34,786,959,284.39
  5. Step 5: Solve for x
    x = 34,786,959,284.39/85,863.75
  6. Step 6: Final answer
    x = 405,141.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.