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Finding the Third Proportional to 109,000 and 163,868

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Solution

The third proportional to 109,000 and 163,868 is: 246,355.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,000 : 163,868 = 163,868 : x
  2. Step 2: Convert to fraction form
    109,000/163,868 = 163,868/x
  3. Step 3: Cross multiply
    109,000x = 163,868 × 163,868
  4. Step 4: Simplify right side
    109,000x = 26,852,721,424
  5. Step 5: Solve for x
    x = 26,852,721,424/109,000
  6. Step 6: Final answer
    x = 246,355.24

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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.