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Finding the Third Proportional to 109,218 and 173,663

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Solution

The third proportional to 109,218 and 173,663 is: 276,134.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,218 : 173,663 = 173,663 : x
  2. Step 2: Convert to fraction form
    109,218/173,663 = 173,663/x
  3. Step 3: Cross multiply
    109,218x = 173,663 × 173,663
  4. Step 4: Simplify right side
    109,218x = 30,158,837,569
  5. Step 5: Solve for x
    x = 30,158,837,569/109,218
  6. Step 6: Final answer
    x = 276,134.31

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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.