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Finding the Third Proportional to 131,669 and 188,157

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Solution

The third proportional to 131,669 and 188,157 is: 268,879.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,669 : 188,157 = 188,157 : x
  2. Step 2: Convert to fraction form
    131,669/188,157 = 188,157/x
  3. Step 3: Cross multiply
    131,669x = 188,157 × 188,157
  4. Step 4: Simplify right side
    131,669x = 35,403,056,649
  5. Step 5: Solve for x
    x = 35,403,056,649/131,669
  6. Step 6: Final answer
    x = 268,879.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.