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Finding the Third Proportional to 85,974 and 183,019

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Solution

The third proportional to 85,974 and 183,019 is: 389,605.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,974 : 183,019 = 183,019 : x
  2. Step 2: Convert to fraction form
    85,974/183,019 = 183,019/x
  3. Step 3: Cross multiply
    85,974x = 183,019 × 183,019
  4. Step 4: Simplify right side
    85,974x = 33,495,954,361
  5. Step 5: Solve for x
    x = 33,495,954,361/85,974
  6. Step 6: Final answer
    x = 389,605.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.