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Finding the Third Proportional to 109,576 and 164,994

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Solution

The third proportional to 109,576 and 164,994 is: 248,439.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,576 : 164,994 = 164,994 : x
  2. Step 2: Convert to fraction form
    109,576/164,994 = 164,994/x
  3. Step 3: Cross multiply
    109,576x = 164,994 × 164,994
  4. Step 4: Simplify right side
    109,576x = 27,223,020,036
  5. Step 5: Solve for x
    x = 27,223,020,036/109,576
  6. Step 6: Final answer
    x = 248,439.62

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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.