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Finding the Third Proportional to 84,164 and 181,044

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Solution

The third proportional to 84,164 and 181,044 is: 389,441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,164 : 181,044 = 181,044 : x
  2. Step 2: Convert to fraction form
    84,164/181,044 = 181,044/x
  3. Step 3: Cross multiply
    84,164x = 181,044 × 181,044
  4. Step 4: Simplify right side
    84,164x = 32,776,929,936
  5. Step 5: Solve for x
    x = 32,776,929,936/84,164
  6. Step 6: Final answer
    x = 389,441.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.