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Finding the Third Proportional to 85,917 and 186,594

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Solution

The third proportional to 85,917 and 186,594 is: 405,243.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,917 : 186,594 = 186,594 : x
  2. Step 2: Convert to fraction form
    85,917/186,594 = 186,594/x
  3. Step 3: Cross multiply
    85,917x = 186,594 × 186,594
  4. Step 4: Simplify right side
    85,917x = 34,817,320,836
  5. Step 5: Solve for x
    x = 34,817,320,836/85,917
  6. Step 6: Final answer
    x = 405,243.68

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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.