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Finding the Third Proportional to 26,356 and 56,743

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Solution

The third proportional to 26,356 and 56,743 is: 122,164.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,356 : 56,743 = 56,743 : x
  2. Step 2: Convert to fraction form
    26,356/56,743 = 56,743/x
  3. Step 3: Cross multiply
    26,356x = 56,743 × 56,743
  4. Step 4: Simplify right side
    26,356x = 3,219,768,049
  5. Step 5: Solve for x
    x = 3,219,768,049/26,356
  6. Step 6: Final answer
    x = 122,164.52

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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.