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Finding the Third Proportional to 109,694 and 163,823

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Solution

The third proportional to 109,694 and 163,823 is: 244,662.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,694 : 163,823 = 163,823 : x
  2. Step 2: Convert to fraction form
    109,694/163,823 = 163,823/x
  3. Step 3: Cross multiply
    109,694x = 163,823 × 163,823
  4. Step 4: Simplify right side
    109,694x = 26,837,975,329
  5. Step 5: Solve for x
    x = 26,837,975,329/109,694
  6. Step 6: Final answer
    x = 244,662.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.