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Finding the Third Proportional to 109,230 and 164,616

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Solution

The third proportional to 109,230 and 164,616 is: 248,085.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,230 : 164,616 = 164,616 : x
  2. Step 2: Convert to fraction form
    109,230/164,616 = 164,616/x
  3. Step 3: Cross multiply
    109,230x = 164,616 × 164,616
  4. Step 4: Simplify right side
    109,230x = 27,098,427,456
  5. Step 5: Solve for x
    x = 27,098,427,456/109,230
  6. Step 6: Final answer
    x = 248,085.94

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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.