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Finding the Third Proportional to 109,948 and 164,634

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Solution

The third proportional to 109,948 and 164,634 is: 246,519.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,948 : 164,634 = 164,634 : x
  2. Step 2: Convert to fraction form
    109,948/164,634 = 164,634/x
  3. Step 3: Cross multiply
    109,948x = 164,634 × 164,634
  4. Step 4: Simplify right side
    109,948x = 27,104,353,956
  5. Step 5: Solve for x
    x = 27,104,353,956/109,948
  6. Step 6: Final answer
    x = 246,519.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.