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Finding the Third Proportional to 109,474 and 165,006

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Solution

The third proportional to 109,474 and 165,006 is: 248,707.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,474 : 165,006 = 165,006 : x
  2. Step 2: Convert to fraction form
    109,474/165,006 = 165,006/x
  3. Step 3: Cross multiply
    109,474x = 165,006 × 165,006
  4. Step 4: Simplify right side
    109,474x = 27,226,980,036
  5. Step 5: Solve for x
    x = 27,226,980,036/109,474
  6. Step 6: Final answer
    x = 248,707.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.