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Finding the Third Proportional to 84,828 and 131,413

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Solution

The third proportional to 84,828 and 131,413 is: 203,581.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,828 : 131,413 = 131,413 : x
  2. Step 2: Convert to fraction form
    84,828/131,413 = 131,413/x
  3. Step 3: Cross multiply
    84,828x = 131,413 × 131,413
  4. Step 4: Simplify right side
    84,828x = 17,269,376,569
  5. Step 5: Solve for x
    x = 17,269,376,569/84,828
  6. Step 6: Final answer
    x = 203,581.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.