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Finding the Third Proportional to 86,029 and 185,899

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Solution

The third proportional to 86,029 and 185,899 is: 401,706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,029 : 185,899 = 185,899 : x
  2. Step 2: Convert to fraction form
    86,029/185,899 = 185,899/x
  3. Step 3: Cross multiply
    86,029x = 185,899 × 185,899
  4. Step 4: Simplify right side
    86,029x = 34,558,438,201
  5. Step 5: Solve for x
    x = 34,558,438,201/86,029
  6. Step 6: Final answer
    x = 401,706.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.