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Finding the Third Proportional to 60,900 and 95,558

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Solution

The third proportional to 60,900 and 95,558 is: 149,939.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,900 : 95,558 = 95,558 : x
  2. Step 2: Convert to fraction form
    60,900/95,558 = 95,558/x
  3. Step 3: Cross multiply
    60,900x = 95,558 × 95,558
  4. Step 4: Simplify right side
    60,900x = 9,131,331,364
  5. Step 5: Solve for x
    x = 9,131,331,364/60,900
  6. Step 6: Final answer
    x = 149,939.76

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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.