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Finding the Third Proportional to 109,234 and 164,621

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Solution

The third proportional to 109,234 and 164,621 is: 248,091.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,234 : 164,621 = 164,621 : x
  2. Step 2: Convert to fraction form
    109,234/164,621 = 164,621/x
  3. Step 3: Cross multiply
    109,234x = 164,621 × 164,621
  4. Step 4: Simplify right side
    109,234x = 27,100,073,641
  5. Step 5: Solve for x
    x = 27,100,073,641/109,234
  6. Step 6: Final answer
    x = 248,091.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.