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Finding the Third Proportional to 26,350 and 57,177

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Solution

The third proportional to 26,350 and 57,177 is: 124,068.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,350 : 57,177 = 57,177 : x
  2. Step 2: Convert to fraction form
    26,350/57,177 = 57,177/x
  3. Step 3: Cross multiply
    26,350x = 57,177 × 57,177
  4. Step 4: Simplify right side
    26,350x = 3,269,209,329
  5. Step 5: Solve for x
    x = 3,269,209,329/26,350
  6. Step 6: Final answer
    x = 124,068.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.