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Finding the Third Proportional to 120,736 and 163,971

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Solution

The third proportional to 120,736 and 163,971 is: 222,688.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,736 : 163,971 = 163,971 : x
  2. Step 2: Convert to fraction form
    120,736/163,971 = 163,971/x
  3. Step 3: Cross multiply
    120,736x = 163,971 × 163,971
  4. Step 4: Simplify right side
    120,736x = 26,886,488,841
  5. Step 5: Solve for x
    x = 26,886,488,841/120,736
  6. Step 6: Final answer
    x = 222,688.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.