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Finding the Third Proportional to 85,186 and 131,769

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Solution

The third proportional to 85,186 and 131,769 is: 203,825.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,186 : 131,769 = 131,769 : x
  2. Step 2: Convert to fraction form
    85,186/131,769 = 131,769/x
  3. Step 3: Cross multiply
    85,186x = 131,769 × 131,769
  4. Step 4: Simplify right side
    85,186x = 17,363,069,361
  5. Step 5: Solve for x
    x = 17,363,069,361/85,186
  6. Step 6: Final answer
    x = 203,825.39

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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.