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Finding the Third Proportional to 84,876 and 186,702

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Solution

The third proportional to 84,876 and 186,702 is: 410,688.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,876 : 186,702 = 186,702 : x
  2. Step 2: Convert to fraction form
    84,876/186,702 = 186,702/x
  3. Step 3: Cross multiply
    84,876x = 186,702 × 186,702
  4. Step 4: Simplify right side
    84,876x = 34,857,636,804
  5. Step 5: Solve for x
    x = 34,857,636,804/84,876
  6. Step 6: Final answer
    x = 410,688.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.