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Finding the Third Proportional to 109,706 and 163,839

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Solution

The third proportional to 109,706 and 163,839 is: 244,683.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,706 : 163,839 = 163,839 : x
  2. Step 2: Convert to fraction form
    109,706/163,839 = 163,839/x
  3. Step 3: Cross multiply
    109,706x = 163,839 × 163,839
  4. Step 4: Simplify right side
    109,706x = 26,843,217,921
  5. Step 5: Solve for x
    x = 26,843,217,921/109,706
  6. Step 6: Final answer
    x = 244,683.23

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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.