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Finding the Third Proportional to 136,154 and 190,443

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Solution

The third proportional to 136,154 and 190,443 is: 266,378.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,154 : 190,443 = 190,443 : x
  2. Step 2: Convert to fraction form
    136,154/190,443 = 190,443/x
  3. Step 3: Cross multiply
    136,154x = 190,443 × 190,443
  4. Step 4: Simplify right side
    136,154x = 36,268,536,249
  5. Step 5: Solve for x
    x = 36,268,536,249/136,154
  6. Step 6: Final answer
    x = 266,378.78

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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.