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Finding the Third Proportional to 133,895 and 190,353

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Solution

The third proportional to 133,895 and 190,353 is: 270,617.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,895 : 190,353 = 190,353 : x
  2. Step 2: Convert to fraction form
    133,895/190,353 = 190,353/x
  3. Step 3: Cross multiply
    133,895x = 190,353 × 190,353
  4. Step 4: Simplify right side
    133,895x = 36,234,264,609
  5. Step 5: Solve for x
    x = 36,234,264,609/133,895
  6. Step 6: Final answer
    x = 270,617.01

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.