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Finding the Third Proportional to 26,319 and 56,256

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Solution

The third proportional to 26,319 and 56,256 is: 120,245.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,319 : 56,256 = 56,256 : x
  2. Step 2: Convert to fraction form
    26,319/56,256 = 56,256/x
  3. Step 3: Cross multiply
    26,319x = 56,256 × 56,256
  4. Step 4: Simplify right side
    26,319x = 3,164,737,536
  5. Step 5: Solve for x
    x = 3,164,737,536/26,319
  6. Step 6: Final answer
    x = 120,245.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.