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Finding the Third Proportional to 131,809.50 and 199,563

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Solution

The third proportional to 131,809.50 and 199,563 is: 302,143.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,809.50 : 199,563 = 199,563 : x
  2. Step 2: Convert to fraction form
    131,809.50/199,563 = 199,563/x
  3. Step 3: Cross multiply
    131,809.50x = 199,563 × 199,563
  4. Step 4: Simplify right side
    131,809.50x = 39,825,390,969
  5. Step 5: Solve for x
    x = 39,825,390,969/131,809.50
  6. Step 6: Final answer
    x = 302,143.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.