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Finding the Third Proportional to 120,727.13 and 163,963.69

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Solution

The third proportional to 120,727.13 and 163,963.69 is: 222,684.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,727.13 : 163,963.69 = 163,963.69 : x
  2. Step 2: Convert to fraction form
    120,727.13/163,963.69 = 163,963.69/x
  3. Step 3: Cross multiply
    120,727.13x = 163,963.69 × 163,963.69
  4. Step 4: Simplify right side
    120,727.13x = 26,884,090,818.60
  5. Step 5: Solve for x
    x = 26,884,090,818.60/120,727.13
  6. Step 6: Final answer
    x = 222,684.76

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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.