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Finding the Third Proportional to 53,950 and 81,675

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Solution

The third proportional to 53,950 and 81,675 is: 123,647.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,950 : 81,675 = 81,675 : x
  2. Step 2: Convert to fraction form
    53,950/81,675 = 81,675/x
  3. Step 3: Cross multiply
    53,950x = 81,675 × 81,675
  4. Step 4: Simplify right side
    53,950x = 6,670,805,625
  5. Step 5: Solve for x
    x = 6,670,805,625/53,950
  6. Step 6: Final answer
    x = 123,647.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.