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Finding the Third Proportional to 25,568 and 57,088

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Solution

The third proportional to 25,568 and 57,088 is: 127,465.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,568 : 57,088 = 57,088 : x
  2. Step 2: Convert to fraction form
    25,568/57,088 = 57,088/x
  3. Step 3: Cross multiply
    25,568x = 57,088 × 57,088
  4. Step 4: Simplify right side
    25,568x = 3,259,039,744
  5. Step 5: Solve for x
    x = 3,259,039,744/25,568
  6. Step 6: Final answer
    x = 127,465.57

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.