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Finding the Third Proportional to 52,008 and 122,649

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Solution

The third proportional to 52,008 and 122,649 is: 289,239.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,008 : 122,649 = 122,649 : x
  2. Step 2: Convert to fraction form
    52,008/122,649 = 122,649/x
  3. Step 3: Cross multiply
    52,008x = 122,649 × 122,649
  4. Step 4: Simplify right side
    52,008x = 15,042,777,201
  5. Step 5: Solve for x
    x = 15,042,777,201/52,008
  6. Step 6: Final answer
    x = 289,239.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.