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Finding the Third Proportional to 29,296 and 69,127

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Solution

The third proportional to 29,296 and 69,127 is: 163,112.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,296 : 69,127 = 69,127 : x
  2. Step 2: Convert to fraction form
    29,296/69,127 = 69,127/x
  3. Step 3: Cross multiply
    29,296x = 69,127 × 69,127
  4. Step 4: Simplify right side
    29,296x = 4,778,542,129
  5. Step 5: Solve for x
    x = 4,778,542,129/29,296
  6. Step 6: Final answer
    x = 163,112.44

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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.