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Finding the Third Proportional to 120,362 and 168,268

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Solution

The third proportional to 120,362 and 168,268 is: 235,241.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,362 : 168,268 = 168,268 : x
  2. Step 2: Convert to fraction form
    120,362/168,268 = 168,268/x
  3. Step 3: Cross multiply
    120,362x = 168,268 × 168,268
  4. Step 4: Simplify right side
    120,362x = 28,314,119,824
  5. Step 5: Solve for x
    x = 28,314,119,824/120,362
  6. Step 6: Final answer
    x = 235,241.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.