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Finding the Third Proportional to 109,166.25 and 173,591.25

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Solution

The third proportional to 109,166.25 and 173,591.25 is: 276,036.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,166.25 : 173,591.25 = 173,591.25 : x
  2. Step 2: Convert to fraction form
    109,166.25/173,591.25 = 173,591.25/x
  3. Step 3: Cross multiply
    109,166.25x = 173,591.25 × 173,591.25
  4. Step 4: Simplify right side
    109,166.25x = 30,133,922,076.56
  5. Step 5: Solve for x
    x = 30,133,922,076.56/109,166.25
  6. Step 6: Final answer
    x = 276,036.98

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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.