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Finding the Third Proportional to 73,938 and 115,836

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Solution

The third proportional to 73,938 and 115,836 is: 181,476.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,938 : 115,836 = 115,836 : x
  2. Step 2: Convert to fraction form
    73,938/115,836 = 115,836/x
  3. Step 3: Cross multiply
    73,938x = 115,836 × 115,836
  4. Step 4: Simplify right side
    73,938x = 13,417,978,896
  5. Step 5: Solve for x
    x = 13,417,978,896/73,938
  6. Step 6: Final answer
    x = 181,476.09

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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.