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Finding the Third Proportional to 73,975 and 108,193.75

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Solution

The third proportional to 73,975 and 108,193.75 is: 158,241.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,975 : 108,193.75 = 108,193.75 : x
  2. Step 2: Convert to fraction form
    73,975/108,193.75 = 108,193.75/x
  3. Step 3: Cross multiply
    73,975x = 108,193.75 × 108,193.75
  4. Step 4: Simplify right side
    73,975x = 11,705,887,539.06
  5. Step 5: Solve for x
    x = 11,705,887,539.06/73,975
  6. Step 6: Final answer
    x = 158,241.13

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.