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Finding the Third Proportional to 29,066 and 63,025

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Solution

The third proportional to 29,066 and 63,025 is: 136,659.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,066 : 63,025 = 63,025 : x
  2. Step 2: Convert to fraction form
    29,066/63,025 = 63,025/x
  3. Step 3: Cross multiply
    29,066x = 63,025 × 63,025
  4. Step 4: Simplify right side
    29,066x = 3,972,150,625
  5. Step 5: Solve for x
    x = 3,972,150,625/29,066
  6. Step 6: Final answer
    x = 136,659.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.