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Finding the Third Proportional to 57,186 and 87,297.75

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Solution

The third proportional to 57,186 and 87,297.75 is: 133,265.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,186 : 87,297.75 = 87,297.75 : x
  2. Step 2: Convert to fraction form
    57,186/87,297.75 = 87,297.75/x
  3. Step 3: Cross multiply
    57,186x = 87,297.75 × 87,297.75
  4. Step 4: Simplify right side
    57,186x = 7,620,897,155.06
  5. Step 5: Solve for x
    x = 7,620,897,155.06/57,186
  6. Step 6: Final answer
    x = 133,265.09

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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.