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Finding the Third Proportional to 109,268 and 164,907

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Solution

The third proportional to 109,268 and 164,907 is: 248,877.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,268 : 164,907 = 164,907 : x
  2. Step 2: Convert to fraction form
    109,268/164,907 = 164,907/x
  3. Step 3: Cross multiply
    109,268x = 164,907 × 164,907
  4. Step 4: Simplify right side
    109,268x = 27,194,318,649
  5. Step 5: Solve for x
    x = 27,194,318,649/109,268
  6. Step 6: Final answer
    x = 248,877.24

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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.