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Finding the Third Proportional to 73,985 and 115,936

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Solution

The third proportional to 73,985 and 115,936 is: 181,674.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,985 : 115,936 = 115,936 : x
  2. Step 2: Convert to fraction form
    73,985/115,936 = 115,936/x
  3. Step 3: Cross multiply
    73,985x = 115,936 × 115,936
  4. Step 4: Simplify right side
    73,985x = 13,441,156,096
  5. Step 5: Solve for x
    x = 13,441,156,096/73,985
  6. Step 6: Final answer
    x = 181,674.07

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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.