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Finding the Third Proportional to 58,634 and 90,847

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Solution

The third proportional to 58,634 and 90,847 is: 140,757.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,634 : 90,847 = 90,847 : x
  2. Step 2: Convert to fraction form
    58,634/90,847 = 90,847/x
  3. Step 3: Cross multiply
    58,634x = 90,847 × 90,847
  4. Step 4: Simplify right side
    58,634x = 8,253,177,409
  5. Step 5: Solve for x
    x = 8,253,177,409/58,634
  6. Step 6: Final answer
    x = 140,757.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.