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Finding the Third Proportional to 122,958 and 188,008

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Solution

The third proportional to 122,958 and 188,008 is: 287,472.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,958 : 188,008 = 188,008 : x
  2. Step 2: Convert to fraction form
    122,958/188,008 = 188,008/x
  3. Step 3: Cross multiply
    122,958x = 188,008 × 188,008
  4. Step 4: Simplify right side
    122,958x = 35,347,008,064
  5. Step 5: Solve for x
    x = 35,347,008,064/122,958
  6. Step 6: Final answer
    x = 287,472.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.