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Finding the Third Proportional to 84,381 and 131,769

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Solution

The third proportional to 84,381 and 131,769 is: 205,769.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,381 : 131,769 = 131,769 : x
  2. Step 2: Convert to fraction form
    84,381/131,769 = 131,769/x
  3. Step 3: Cross multiply
    84,381x = 131,769 × 131,769
  4. Step 4: Simplify right side
    84,381x = 17,363,069,361
  5. Step 5: Solve for x
    x = 17,363,069,361/84,381
  6. Step 6: Final answer
    x = 205,769.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.