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Finding the Third Proportional to 91,932 and 193,137

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Solution

The third proportional to 91,932 and 193,137 is: 405,755.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,932 : 193,137 = 193,137 : x
  2. Step 2: Convert to fraction form
    91,932/193,137 = 193,137/x
  3. Step 3: Cross multiply
    91,932x = 193,137 × 193,137
  4. Step 4: Simplify right side
    91,932x = 37,301,900,769
  5. Step 5: Solve for x
    x = 37,301,900,769/91,932
  6. Step 6: Final answer
    x = 405,755.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.