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Finding the Third Proportional to 85,450 and 186,982

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Solution

The third proportional to 85,450 and 186,982 is: 409,154.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,450 : 186,982 = 186,982 : x
  2. Step 2: Convert to fraction form
    85,450/186,982 = 186,982/x
  3. Step 3: Cross multiply
    85,450x = 186,982 × 186,982
  4. Step 4: Simplify right side
    85,450x = 34,962,268,324
  5. Step 5: Solve for x
    x = 34,962,268,324/85,450
  6. Step 6: Final answer
    x = 409,154.69

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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.