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Finding the Third Proportional to 88,757 and 193,187

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Solution

The third proportional to 88,757 and 193,187 is: 420,487.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,757 : 193,187 = 193,187 : x
  2. Step 2: Convert to fraction form
    88,757/193,187 = 193,187/x
  3. Step 3: Cross multiply
    88,757x = 193,187 × 193,187
  4. Step 4: Simplify right side
    88,757x = 37,321,216,969
  5. Step 5: Solve for x
    x = 37,321,216,969/88,757
  6. Step 6: Final answer
    x = 420,487.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.