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Finding the Third Proportional to 109,269 and 164,673

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Solution

The third proportional to 109,269 and 164,673 is: 248,169.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,269 : 164,673 = 164,673 : x
  2. Step 2: Convert to fraction form
    109,269/164,673 = 164,673/x
  3. Step 3: Cross multiply
    109,269x = 164,673 × 164,673
  4. Step 4: Simplify right side
    109,269x = 27,117,196,929
  5. Step 5: Solve for x
    x = 27,117,196,929/109,269
  6. Step 6: Final answer
    x = 248,169.17

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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.