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Finding the Third Proportional to 107,760.75 and 234,173.25

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Solution

The third proportional to 107,760.75 and 234,173.25 is: 508,878.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,760.75 : 234,173.25 = 234,173.25 : x
  2. Step 2: Convert to fraction form
    107,760.75/234,173.25 = 234,173.25/x
  3. Step 3: Cross multiply
    107,760.75x = 234,173.25 × 234,173.25
  4. Step 4: Simplify right side
    107,760.75x = 54,837,111,015.56
  5. Step 5: Solve for x
    x = 54,837,111,015.56/107,760.75
  6. Step 6: Final answer
    x = 508,878.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.