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Finding the Third Proportional to 57,644 and 90,230

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Solution

The third proportional to 57,644 and 90,230 is: 141,236.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,644 : 90,230 = 90,230 : x
  2. Step 2: Convert to fraction form
    57,644/90,230 = 90,230/x
  3. Step 3: Cross multiply
    57,644x = 90,230 × 90,230
  4. Step 4: Simplify right side
    57,644x = 8,141,452,900
  5. Step 5: Solve for x
    x = 8,141,452,900/57,644
  6. Step 6: Final answer
    x = 141,236.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.