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Finding the Third Proportional to 57,341 and 88,568

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Solution

The third proportional to 57,341 and 88,568 is: 136,800.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,341 : 88,568 = 88,568 : x
  2. Step 2: Convert to fraction form
    57,341/88,568 = 88,568/x
  3. Step 3: Cross multiply
    57,341x = 88,568 × 88,568
  4. Step 4: Simplify right side
    57,341x = 7,844,290,624
  5. Step 5: Solve for x
    x = 7,844,290,624/57,341
  6. Step 6: Final answer
    x = 136,800.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.