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Finding the Third Proportional to 26,240 and 57,088

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Solution

The third proportional to 26,240 and 57,088 is: 124,201.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,240 : 57,088 = 57,088 : x
  2. Step 2: Convert to fraction form
    26,240/57,088 = 57,088/x
  3. Step 3: Cross multiply
    26,240x = 57,088 × 57,088
  4. Step 4: Simplify right side
    26,240x = 3,259,039,744
  5. Step 5: Solve for x
    x = 3,259,039,744/26,240
  6. Step 6: Final answer
    x = 124,201.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.