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Finding the Third Proportional to 136,206 and 190,697

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Solution

The third proportional to 136,206 and 190,697 is: 266,987.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,206 : 190,697 = 190,697 : x
  2. Step 2: Convert to fraction form
    136,206/190,697 = 190,697/x
  3. Step 3: Cross multiply
    136,206x = 190,697 × 190,697
  4. Step 4: Simplify right side
    136,206x = 36,365,345,809
  5. Step 5: Solve for x
    x = 36,365,345,809/136,206
  6. Step 6: Final answer
    x = 266,987.84

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