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Finding the Third Proportional to 118,276 and 188,099

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Solution

The third proportional to 118,276 and 188,099 is: 299,141.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,276 : 188,099 = 188,099 : x
  2. Step 2: Convert to fraction form
    118,276/188,099 = 188,099/x
  3. Step 3: Cross multiply
    118,276x = 188,099 × 188,099
  4. Step 4: Simplify right side
    118,276x = 35,381,233,801
  5. Step 5: Solve for x
    x = 35,381,233,801/118,276
  6. Step 6: Final answer
    x = 299,141.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.