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Finding the Third Proportional to 55,067.50 and 87,522

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Solution

The third proportional to 55,067.50 and 87,522 is: 139,103.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,067.50 : 87,522 = 87,522 : x
  2. Step 2: Convert to fraction form
    55,067.50/87,522 = 87,522/x
  3. Step 3: Cross multiply
    55,067.50x = 87,522 × 87,522
  4. Step 4: Simplify right side
    55,067.50x = 7,660,100,484
  5. Step 5: Solve for x
    x = 7,660,100,484/55,067.50
  6. Step 6: Final answer
    x = 139,103.84

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.