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Finding the Third Proportional to 29,702 and 63,256

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Solution

The third proportional to 29,702 and 63,256 is: 134,715.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,702 : 63,256 = 63,256 : x
  2. Step 2: Convert to fraction form
    29,702/63,256 = 63,256/x
  3. Step 3: Cross multiply
    29,702x = 63,256 × 63,256
  4. Step 4: Simplify right side
    29,702x = 4,001,321,536
  5. Step 5: Solve for x
    x = 4,001,321,536/29,702
  6. Step 6: Final answer
    x = 134,715.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.