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Finding the Third Proportional to 96,036 and 150,360

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Solution

The third proportional to 96,036 and 150,360 is: 235,413.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,036 : 150,360 = 150,360 : x
  2. Step 2: Convert to fraction form
    96,036/150,360 = 150,360/x
  3. Step 3: Cross multiply
    96,036x = 150,360 × 150,360
  4. Step 4: Simplify right side
    96,036x = 22,608,129,600
  5. Step 5: Solve for x
    x = 22,608,129,600/96,036
  6. Step 6: Final answer
    x = 235,413.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.