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Finding the Third Proportional to 85,441 and 186,966

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Solution

The third proportional to 85,441 and 186,966 is: 409,127.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,441 : 186,966 = 186,966 : x
  2. Step 2: Convert to fraction form
    85,441/186,966 = 186,966/x
  3. Step 3: Cross multiply
    85,441x = 186,966 × 186,966
  4. Step 4: Simplify right side
    85,441x = 34,956,285,156
  5. Step 5: Solve for x
    x = 34,956,285,156/85,441
  6. Step 6: Final answer
    x = 409,127.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.