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Finding the Third Proportional to 49,009 and 106,317

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Solution

The third proportional to 49,009 and 106,317 is: 230,637.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,009 : 106,317 = 106,317 : x
  2. Step 2: Convert to fraction form
    49,009/106,317 = 106,317/x
  3. Step 3: Cross multiply
    49,009x = 106,317 × 106,317
  4. Step 4: Simplify right side
    49,009x = 11,303,304,489
  5. Step 5: Solve for x
    x = 11,303,304,489/49,009
  6. Step 6: Final answer
    x = 230,637.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.