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Finding the Third Proportional to 110,896.59 and 173,737.41

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Solution

The third proportional to 110,896.59 and 173,737.41 is: 272,187.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,896.59 : 173,737.41 = 173,737.41 : x
  2. Step 2: Convert to fraction form
    110,896.59/173,737.41 = 173,737.41/x
  3. Step 3: Cross multiply
    110,896.59x = 173,737.41 × 173,737.41
  4. Step 4: Simplify right side
    110,896.59x = 30,184,686,330.48
  5. Step 5: Solve for x
    x = 30,184,686,330.48/110,896.59
  6. Step 6: Final answer
    x = 272,187.68

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.