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Finding the Third Proportional to 26,112 and 55,202

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Solution

The third proportional to 26,112 and 55,202 is: 116,699.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,112 : 55,202 = 55,202 : x
  2. Step 2: Convert to fraction form
    26,112/55,202 = 55,202/x
  3. Step 3: Cross multiply
    26,112x = 55,202 × 55,202
  4. Step 4: Simplify right side
    26,112x = 3,047,260,804
  5. Step 5: Solve for x
    x = 3,047,260,804/26,112
  6. Step 6: Final answer
    x = 116,699.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.