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Finding the Third Proportional to 131,619 and 191,452.50

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Solution

The third proportional to 131,619 and 191,452.50 is: 278,486.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,619 : 191,452.50 = 191,452.50 : x
  2. Step 2: Convert to fraction form
    131,619/191,452.50 = 191,452.50/x
  3. Step 3: Cross multiply
    131,619x = 191,452.50 × 191,452.50
  4. Step 4: Simplify right side
    131,619x = 36,654,059,756.25
  5. Step 5: Solve for x
    x = 36,654,059,756.25/131,619
  6. Step 6: Final answer
    x = 278,486.08

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.