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Finding the Third Proportional to 26,064 and 56,077

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Solution

The third proportional to 26,064 and 56,077 is: 120,650.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,064 : 56,077 = 56,077 : x
  2. Step 2: Convert to fraction form
    26,064/56,077 = 56,077/x
  3. Step 3: Cross multiply
    26,064x = 56,077 × 56,077
  4. Step 4: Simplify right side
    26,064x = 3,144,629,929
  5. Step 5: Solve for x
    x = 3,144,629,929/26,064
  6. Step 6: Final answer
    x = 120,650.32

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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.