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Finding the Third Proportional to 29,186 and 59,908

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Solution

The third proportional to 29,186 and 59,908 is: 122,968.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,186 : 59,908 = 59,908 : x
  2. Step 2: Convert to fraction form
    29,186/59,908 = 59,908/x
  3. Step 3: Cross multiply
    29,186x = 59,908 × 59,908
  4. Step 4: Simplify right side
    29,186x = 3,588,968,464
  5. Step 5: Solve for x
    x = 3,588,968,464/29,186
  6. Step 6: Final answer
    x = 122,968.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.