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Finding the Third Proportional to 61,067 and 91,140

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Solution

The third proportional to 61,067 and 91,140 is: 136,022.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,067 : 91,140 = 91,140 : x
  2. Step 2: Convert to fraction form
    61,067/91,140 = 91,140/x
  3. Step 3: Cross multiply
    61,067x = 91,140 × 91,140
  4. Step 4: Simplify right side
    61,067x = 8,306,499,600
  5. Step 5: Solve for x
    x = 8,306,499,600/61,067
  6. Step 6: Final answer
    x = 136,022.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.