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Finding the Third Proportional to 86,201 and 179,773

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Solution

The third proportional to 86,201 and 179,773 is: 374,918.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,201 : 179,773 = 179,773 : x
  2. Step 2: Convert to fraction form
    86,201/179,773 = 179,773/x
  3. Step 3: Cross multiply
    86,201x = 179,773 × 179,773
  4. Step 4: Simplify right side
    86,201x = 32,318,331,529
  5. Step 5: Solve for x
    x = 32,318,331,529/86,201
  6. Step 6: Final answer
    x = 374,918.29

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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.