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Finding the Third Proportional to 85,089 and 181,762

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Solution

The third proportional to 85,089 and 181,762 is: 388,269.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,089 : 181,762 = 181,762 : x
  2. Step 2: Convert to fraction form
    85,089/181,762 = 181,762/x
  3. Step 3: Cross multiply
    85,089x = 181,762 × 181,762
  4. Step 4: Simplify right side
    85,089x = 33,037,424,644
  5. Step 5: Solve for x
    x = 33,037,424,644/85,089
  6. Step 6: Final answer
    x = 388,269.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.