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Finding the Third Proportional to 82,222 and 123,003

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Solution

The third proportional to 82,222 and 123,003 is: 184,010.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,222 : 123,003 = 123,003 : x
  2. Step 2: Convert to fraction form
    82,222/123,003 = 123,003/x
  3. Step 3: Cross multiply
    82,222x = 123,003 × 123,003
  4. Step 4: Simplify right side
    82,222x = 15,129,738,009
  5. Step 5: Solve for x
    x = 15,129,738,009/82,222
  6. Step 6: Final answer
    x = 184,010.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.