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Finding the Third Proportional to 109,224 and 173,672

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Solution

The third proportional to 109,224 and 173,672 is: 276,147.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,224 : 173,672 = 173,672 : x
  2. Step 2: Convert to fraction form
    109,224/173,672 = 173,672/x
  3. Step 3: Cross multiply
    109,224x = 173,672 × 173,672
  4. Step 4: Simplify right side
    109,224x = 30,161,963,584
  5. Step 5: Solve for x
    x = 30,161,963,584/109,224
  6. Step 6: Final answer
    x = 276,147.77

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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.