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Finding the Third Proportional to 85,052 and 185,644

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Solution

The third proportional to 85,052 and 185,644 is: 405,207.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,052 : 185,644 = 185,644 : x
  2. Step 2: Convert to fraction form
    85,052/185,644 = 185,644/x
  3. Step 3: Cross multiply
    85,052x = 185,644 × 185,644
  4. Step 4: Simplify right side
    85,052x = 34,463,694,736
  5. Step 5: Solve for x
    x = 34,463,694,736/85,052
  6. Step 6: Final answer
    x = 405,207.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.