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Finding the Third Proportional to 118,910 and 163,055

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Solution

The third proportional to 118,910 and 163,055 is: 223,588.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,910 : 163,055 = 163,055 : x
  2. Step 2: Convert to fraction form
    118,910/163,055 = 163,055/x
  3. Step 3: Cross multiply
    118,910x = 163,055 × 163,055
  4. Step 4: Simplify right side
    118,910x = 26,586,933,025
  5. Step 5: Solve for x
    x = 26,586,933,025/118,910
  6. Step 6: Final answer
    x = 223,588.71

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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.