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Finding the Third Proportional to 85,964.63 and 182,999.25

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Solution

The third proportional to 85,964.63 and 182,999.25 is: 389,564.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,964.63 : 182,999.25 = 182,999.25 : x
  2. Step 2: Convert to fraction form
    85,964.63/182,999.25 = 182,999.25/x
  3. Step 3: Cross multiply
    85,964.63x = 182,999.25 × 182,999.25
  4. Step 4: Simplify right side
    85,964.63x = 33,488,725,500.56
  5. Step 5: Solve for x
    x = 33,488,725,500.56/85,964.63
  6. Step 6: Final answer
    x = 389,564.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.