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Finding the Third Proportional to 136,660 and 191,097

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Solution

The third proportional to 136,660 and 191,097 is: 267,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,660 : 191,097 = 191,097 : x
  2. Step 2: Convert to fraction form
    136,660/191,097 = 191,097/x
  3. Step 3: Cross multiply
    136,660x = 191,097 × 191,097
  4. Step 4: Simplify right side
    136,660x = 36,518,063,409
  5. Step 5: Solve for x
    x = 36,518,063,409/136,660
  6. Step 6: Final answer
    x = 267,218.38

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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.