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Finding the Third Proportional to 82,009 and 122,586

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Solution

The third proportional to 82,009 and 122,586 is: 183,239.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,009 : 122,586 = 122,586 : x
  2. Step 2: Convert to fraction form
    82,009/122,586 = 122,586/x
  3. Step 3: Cross multiply
    82,009x = 122,586 × 122,586
  4. Step 4: Simplify right side
    82,009x = 15,027,327,396
  5. Step 5: Solve for x
    x = 15,027,327,396/82,009
  6. Step 6: Final answer
    x = 183,239.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.