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Finding the Third Proportional to 57,785 and 88,697

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Solution

The third proportional to 57,785 and 88,697 is: 136,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,785 : 88,697 = 88,697 : x
  2. Step 2: Convert to fraction form
    57,785/88,697 = 88,697/x
  3. Step 3: Cross multiply
    57,785x = 88,697 × 88,697
  4. Step 4: Simplify right side
    57,785x = 7,867,157,809
  5. Step 5: Solve for x
    x = 7,867,157,809/57,785
  6. Step 6: Final answer
    x = 136,145.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.