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Finding the Third Proportional to 84,208 and 180,087

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Solution

The third proportional to 84,208 and 180,087 is: 385,133.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,208 : 180,087 = 180,087 : x
  2. Step 2: Convert to fraction form
    84,208/180,087 = 180,087/x
  3. Step 3: Cross multiply
    84,208x = 180,087 × 180,087
  4. Step 4: Simplify right side
    84,208x = 32,431,327,569
  5. Step 5: Solve for x
    x = 32,431,327,569/84,208
  6. Step 6: Final answer
    x = 385,133.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.