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Finding the Third Proportional to 75,870.75 and 109,294.13

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Solution

The third proportional to 75,870.75 and 109,294.13 is: 157,441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,870.75 : 109,294.13 = 109,294.13 : x
  2. Step 2: Convert to fraction form
    75,870.75/109,294.13 = 109,294.13/x
  3. Step 3: Cross multiply
    75,870.75x = 109,294.13 × 109,294.13
  4. Step 4: Simplify right side
    75,870.75x = 11,945,205,759.52
  5. Step 5: Solve for x
    x = 11,945,205,759.52/75,870.75
  6. Step 6: Final answer
    x = 157,441.51

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.