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Finding the Third Proportional to 131,086.13 and 192,291.75

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Solution

The third proportional to 131,086.13 and 192,291.75 is: 282,074.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,086.13 : 192,291.75 = 192,291.75 : x
  2. Step 2: Convert to fraction form
    131,086.13/192,291.75 = 192,291.75/x
  3. Step 3: Cross multiply
    131,086.13x = 192,291.75 × 192,291.75
  4. Step 4: Simplify right side
    131,086.13x = 36,976,117,118.06
  5. Step 5: Solve for x
    x = 36,976,117,118.06/131,086.13
  6. Step 6: Final answer
    x = 282,074.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.