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Finding the Third Proportional to 138,100 and 213,256

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Solution

The third proportional to 138,100 and 213,256 is: 329,312.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,100 : 213,256 = 213,256 : x
  2. Step 2: Convert to fraction form
    138,100/213,256 = 213,256/x
  3. Step 3: Cross multiply
    138,100x = 213,256 × 213,256
  4. Step 4: Simplify right side
    138,100x = 45,478,121,536
  5. Step 5: Solve for x
    x = 45,478,121,536/138,100
  6. Step 6: Final answer
    x = 329,312.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.