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Finding the Third Proportional to 103,737.75 and 160,211.25

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Solution

The third proportional to 103,737.75 and 160,211.25 is: 247,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,737.75 : 160,211.25 = 160,211.25 : x
  2. Step 2: Convert to fraction form
    103,737.75/160,211.25 = 160,211.25/x
  3. Step 3: Cross multiply
    103,737.75x = 160,211.25 × 160,211.25
  4. Step 4: Simplify right side
    103,737.75x = 25,667,644,626.56
  5. Step 5: Solve for x
    x = 25,667,644,626.56/103,737.75
  6. Step 6: Final answer
    x = 247,428.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.