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Finding the Third Proportional to 120,727 and 163,964

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Solution

The third proportional to 120,727 and 163,964 is: 222,685.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,727 : 163,964 = 163,964 : x
  2. Step 2: Convert to fraction form
    120,727/163,964 = 163,964/x
  3. Step 3: Cross multiply
    120,727x = 163,964 × 163,964
  4. Step 4: Simplify right side
    120,727x = 26,884,193,296
  5. Step 5: Solve for x
    x = 26,884,193,296/120,727
  6. Step 6: Final answer
    x = 222,685.84

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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.