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Finding the Third Proportional to 26,002 and 56,155

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Solution

The third proportional to 26,002 and 56,155 is: 121,274.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,002 : 56,155 = 56,155 : x
  2. Step 2: Convert to fraction form
    26,002/56,155 = 56,155/x
  3. Step 3: Cross multiply
    26,002x = 56,155 × 56,155
  4. Step 4: Simplify right side
    26,002x = 3,153,384,025
  5. Step 5: Solve for x
    x = 3,153,384,025/26,002
  6. Step 6: Final answer
    x = 121,274.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.