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Finding the Third Proportional to 107,744.25 and 170,523.75

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Solution

The third proportional to 107,744.25 and 170,523.75 is: 269,883.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,744.25 : 170,523.75 = 170,523.75 : x
  2. Step 2: Convert to fraction form
    107,744.25/170,523.75 = 170,523.75/x
  3. Step 3: Cross multiply
    107,744.25x = 170,523.75 × 170,523.75
  4. Step 4: Simplify right side
    107,744.25x = 29,078,349,314.06
  5. Step 5: Solve for x
    x = 29,078,349,314.06/107,744.25
  6. Step 6: Final answer
    x = 269,883.07

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.