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Finding the Third Proportional to 85,876 and 186,043

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Solution

The third proportional to 85,876 and 186,043 is: 403,046.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,876 : 186,043 = 186,043 : x
  2. Step 2: Convert to fraction form
    85,876/186,043 = 186,043/x
  3. Step 3: Cross multiply
    85,876x = 186,043 × 186,043
  4. Step 4: Simplify right side
    85,876x = 34,611,997,849
  5. Step 5: Solve for x
    x = 34,611,997,849/85,876
  6. Step 6: Final answer
    x = 403,046.23

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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.