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Finding the Third Proportional to 84,179 and 181,710

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Solution

The third proportional to 84,179 and 181,710 is: 392,241.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,179 : 181,710 = 181,710 : x
  2. Step 2: Convert to fraction form
    84,179/181,710 = 181,710/x
  3. Step 3: Cross multiply
    84,179x = 181,710 × 181,710
  4. Step 4: Simplify right side
    84,179x = 33,018,524,100
  5. Step 5: Solve for x
    x = 33,018,524,100/84,179
  6. Step 6: Final answer
    x = 392,241.82

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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.