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Finding the Third Proportional to 136,627 and 191,057

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Solution

The third proportional to 136,627 and 191,057 is: 267,171.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,627 : 191,057 = 191,057 : x
  2. Step 2: Convert to fraction form
    136,627/191,057 = 191,057/x
  3. Step 3: Cross multiply
    136,627x = 191,057 × 191,057
  4. Step 4: Simplify right side
    136,627x = 36,502,777,249
  5. Step 5: Solve for x
    x = 36,502,777,249/136,627
  6. Step 6: Final answer
    x = 267,171.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.