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Finding the Third Proportional to 66,676 and 93,772

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Solution

The third proportional to 66,676 and 93,772 is: 131,879.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,676 : 93,772 = 93,772 : x
  2. Step 2: Convert to fraction form
    66,676/93,772 = 93,772/x
  3. Step 3: Cross multiply
    66,676x = 93,772 × 93,772
  4. Step 4: Simplify right side
    66,676x = 8,793,187,984
  5. Step 5: Solve for x
    x = 8,793,187,984/66,676
  6. Step 6: Final answer
    x = 131,879.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.