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Finding the Third Proportional to 26,266 and 56,223

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Solution

The third proportional to 26,266 and 56,223 is: 120,346.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,266 : 56,223 = 56,223 : x
  2. Step 2: Convert to fraction form
    26,266/56,223 = 56,223/x
  3. Step 3: Cross multiply
    26,266x = 56,223 × 56,223
  4. Step 4: Simplify right side
    26,266x = 3,161,025,729
  5. Step 5: Solve for x
    x = 3,161,025,729/26,266
  6. Step 6: Final answer
    x = 120,346.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.