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Finding the Third Proportional to 109,838 and 164,379

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Solution

The third proportional to 109,838 and 164,379 is: 246,002.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,838 : 164,379 = 164,379 : x
  2. Step 2: Convert to fraction form
    109,838/164,379 = 164,379/x
  3. Step 3: Cross multiply
    109,838x = 164,379 × 164,379
  4. Step 4: Simplify right side
    109,838x = 27,020,455,641
  5. Step 5: Solve for x
    x = 27,020,455,641/109,838
  6. Step 6: Final answer
    x = 246,002.80

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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.