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Finding the Third Proportional to 109,162.75 and 173,586

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Solution

The third proportional to 109,162.75 and 173,586 is: 276,029.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,162.75 : 173,586 = 173,586 : x
  2. Step 2: Convert to fraction form
    109,162.75/173,586 = 173,586/x
  3. Step 3: Cross multiply
    109,162.75x = 173,586 × 173,586
  4. Step 4: Simplify right side
    109,162.75x = 30,132,099,396
  5. Step 5: Solve for x
    x = 30,132,099,396/109,162.75
  6. Step 6: Final answer
    x = 276,029.13

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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.