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Finding the Third Proportional to 84,827 and 131,412

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Solution

The third proportional to 84,827 and 131,412 is: 203,580.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,827 : 131,412 = 131,412 : x
  2. Step 2: Convert to fraction form
    84,827/131,412 = 131,412/x
  3. Step 3: Cross multiply
    84,827x = 131,412 × 131,412
  4. Step 4: Simplify right side
    84,827x = 17,269,113,744
  5. Step 5: Solve for x
    x = 17,269,113,744/84,827
  6. Step 6: Final answer
    x = 203,580.39

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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.