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Finding the Third Proportional to 127,611 and 190,171

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Solution

The third proportional to 127,611 and 190,171 is: 283,400.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,611 : 190,171 = 190,171 : x
  2. Step 2: Convert to fraction form
    127,611/190,171 = 190,171/x
  3. Step 3: Cross multiply
    127,611x = 190,171 × 190,171
  4. Step 4: Simplify right side
    127,611x = 36,165,009,241
  5. Step 5: Solve for x
    x = 36,165,009,241/127,611
  6. Step 6: Final answer
    x = 283,400.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.