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Finding the Third Proportional to 86,199 and 179,769

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Solution

The third proportional to 86,199 and 179,769 is: 374,910.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,199 : 179,769 = 179,769 : x
  2. Step 2: Convert to fraction form
    86,199/179,769 = 179,769/x
  3. Step 3: Cross multiply
    86,199x = 179,769 × 179,769
  4. Step 4: Simplify right side
    86,199x = 32,316,893,361
  5. Step 5: Solve for x
    x = 32,316,893,361/86,199
  6. Step 6: Final answer
    x = 374,910.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.