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Finding the Third Proportional to 85,212 and 181,359

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Solution

The third proportional to 85,212 and 181,359 is: 385,991.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,212 : 181,359 = 181,359 : x
  2. Step 2: Convert to fraction form
    85,212/181,359 = 181,359/x
  3. Step 3: Cross multiply
    85,212x = 181,359 × 181,359
  4. Step 4: Simplify right side
    85,212x = 32,891,086,881
  5. Step 5: Solve for x
    x = 32,891,086,881/85,212
  6. Step 6: Final answer
    x = 385,991.26

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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.