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Finding the Third Proportional to 29,092.36 and 67,987.69

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Solution

The third proportional to 29,092.36 and 67,987.69 is: 158,884.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,092.36 : 67,987.69 = 67,987.69 : x
  2. Step 2: Convert to fraction form
    29,092.36/67,987.69 = 67,987.69/x
  3. Step 3: Cross multiply
    29,092.36x = 67,987.69 × 67,987.69
  4. Step 4: Simplify right side
    29,092.36x = 4,622,325,651.60
  5. Step 5: Solve for x
    x = 4,622,325,651.60/29,092.36
  6. Step 6: Final answer
    x = 158,884.52

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.