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Finding the Third Proportional to 85,451 and 186,994

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Solution

The third proportional to 85,451 and 186,994 is: 409,202.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,451 : 186,994 = 186,994 : x
  2. Step 2: Convert to fraction form
    85,451/186,994 = 186,994/x
  3. Step 3: Cross multiply
    85,451x = 186,994 × 186,994
  4. Step 4: Simplify right side
    85,451x = 34,966,756,036
  5. Step 5: Solve for x
    x = 34,966,756,036/85,451
  6. Step 6: Final answer
    x = 409,202.42

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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.