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Finding the Third Proportional to 66,766 and 103,093

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Solution

The third proportional to 66,766 and 103,093 is: 159,185.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,766 : 103,093 = 103,093 : x
  2. Step 2: Convert to fraction form
    66,766/103,093 = 103,093/x
  3. Step 3: Cross multiply
    66,766x = 103,093 × 103,093
  4. Step 4: Simplify right side
    66,766x = 10,628,166,649
  5. Step 5: Solve for x
    x = 10,628,166,649/66,766
  6. Step 6: Final answer
    x = 159,185.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.