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Finding the Third Proportional to 70,773.75 and 103,241.25

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Solution

The third proportional to 70,773.75 and 103,241.25 is: 150,603.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,773.75 : 103,241.25 = 103,241.25 : x
  2. Step 2: Convert to fraction form
    70,773.75/103,241.25 = 103,241.25/x
  3. Step 3: Cross multiply
    70,773.75x = 103,241.25 × 103,241.25
  4. Step 4: Simplify right side
    70,773.75x = 10,658,755,701.56
  5. Step 5: Solve for x
    x = 10,658,755,701.56/70,773.75
  6. Step 6: Final answer
    x = 150,603.23

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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.