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Finding the Third Proportional to 75,817.27 and 100,603.90

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Solution

The third proportional to 75,817.27 and 100,603.90 is: 133,493.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,817.27 : 100,603.90 = 100,603.90 : x
  2. Step 2: Convert to fraction form
    75,817.27/100,603.90 = 100,603.90/x
  3. Step 3: Cross multiply
    75,817.27x = 100,603.90 × 100,603.90
  4. Step 4: Simplify right side
    75,817.27x = 10,121,144,380.82
  5. Step 5: Solve for x
    x = 10,121,144,380.82/75,817.27
  6. Step 6: Final answer
    x = 133,493.93

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.