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Finding the Third Proportional to 86,526 and 186,876

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Solution

The third proportional to 86,526 and 186,876 is: 403,608.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,526 : 186,876 = 186,876 : x
  2. Step 2: Convert to fraction form
    86,526/186,876 = 186,876/x
  3. Step 3: Cross multiply
    86,526x = 186,876 × 186,876
  4. Step 4: Simplify right side
    86,526x = 34,922,639,376
  5. Step 5: Solve for x
    x = 34,922,639,376/86,526
  6. Step 6: Final answer
    x = 403,608.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.