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Finding the Third Proportional to 118,906 and 163,049

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Solution

The third proportional to 118,906 and 163,049 is: 223,579.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,906 : 163,049 = 163,049 : x
  2. Step 2: Convert to fraction form
    118,906/163,049 = 163,049/x
  3. Step 3: Cross multiply
    118,906x = 163,049 × 163,049
  4. Step 4: Simplify right side
    118,906x = 26,584,976,401
  5. Step 5: Solve for x
    x = 26,584,976,401/118,906
  6. Step 6: Final answer
    x = 223,579.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.