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Finding the Third Proportional to 86,217 and 186,026

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Solution

The third proportional to 86,217 and 186,026 is: 401,378.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,217 : 186,026 = 186,026 : x
  2. Step 2: Convert to fraction form
    86,217/186,026 = 186,026/x
  3. Step 3: Cross multiply
    86,217x = 186,026 × 186,026
  4. Step 4: Simplify right side
    86,217x = 34,605,672,676
  5. Step 5: Solve for x
    x = 34,605,672,676/86,217
  6. Step 6: Final answer
    x = 401,378.76

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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.