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Finding the Third Proportional to 109,166 and 173,591.50

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Solution

The third proportional to 109,166 and 173,591.50 is: 276,038.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,166 : 173,591.50 = 173,591.50 : x
  2. Step 2: Convert to fraction form
    109,166/173,591.50 = 173,591.50/x
  3. Step 3: Cross multiply
    109,166x = 173,591.50 × 173,591.50
  4. Step 4: Simplify right side
    109,166x = 30,134,008,872.25
  5. Step 5: Solve for x
    x = 30,134,008,872.25/109,166
  6. Step 6: Final answer
    x = 276,038.41

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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.