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Finding the Third Proportional to 29,177 and 64,005

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Solution

The third proportional to 29,177 and 64,005 is: 140,406.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,177 : 64,005 = 64,005 : x
  2. Step 2: Convert to fraction form
    29,177/64,005 = 64,005/x
  3. Step 3: Cross multiply
    29,177x = 64,005 × 64,005
  4. Step 4: Simplify right side
    29,177x = 4,096,640,025
  5. Step 5: Solve for x
    x = 4,096,640,025/29,177
  6. Step 6: Final answer
    x = 140,406.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.