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Finding the Third Proportional to 133,950.75 and 182,415

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Solution

The third proportional to 133,950.75 and 182,415 is: 248,413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,950.75 : 182,415 = 182,415 : x
  2. Step 2: Convert to fraction form
    133,950.75/182,415 = 182,415/x
  3. Step 3: Cross multiply
    133,950.75x = 182,415 × 182,415
  4. Step 4: Simplify right side
    133,950.75x = 33,275,232,225
  5. Step 5: Solve for x
    x = 33,275,232,225/133,950.75
  6. Step 6: Final answer
    x = 248,413.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.