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Finding the Third Proportional to 100,868.25 and 151,737.75

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Solution

The third proportional to 100,868.25 and 151,737.75 is: 228,261.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,868.25 : 151,737.75 = 151,737.75 : x
  2. Step 2: Convert to fraction form
    100,868.25/151,737.75 = 151,737.75/x
  3. Step 3: Cross multiply
    100,868.25x = 151,737.75 × 151,737.75
  4. Step 4: Simplify right side
    100,868.25x = 23,024,344,775.06
  5. Step 5: Solve for x
    x = 23,024,344,775.06/100,868.25
  6. Step 6: Final answer
    x = 228,261.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.