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Finding the Third Proportional to 84,050 and 181,652

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Solution

The third proportional to 84,050 and 181,652 is: 392,593.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,050 : 181,652 = 181,652 : x
  2. Step 2: Convert to fraction form
    84,050/181,652 = 181,652/x
  3. Step 3: Cross multiply
    84,050x = 181,652 × 181,652
  4. Step 4: Simplify right side
    84,050x = 32,997,449,104
  5. Step 5: Solve for x
    x = 32,997,449,104/84,050
  6. Step 6: Final answer
    x = 392,593.09

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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.