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Finding the Third Proportional to 26,256 and 56,394

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Solution

The third proportional to 26,256 and 56,394 is: 121,125.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,256 : 56,394 = 56,394 : x
  2. Step 2: Convert to fraction form
    26,256/56,394 = 56,394/x
  3. Step 3: Cross multiply
    26,256x = 56,394 × 56,394
  4. Step 4: Simplify right side
    26,256x = 3,180,283,236
  5. Step 5: Solve for x
    x = 3,180,283,236/26,256
  6. Step 6: Final answer
    x = 121,125.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.