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Finding the Third Proportional to 53,338 and 76,225

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Solution

The third proportional to 53,338 and 76,225 is: 108,932.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,338 : 76,225 = 76,225 : x
  2. Step 2: Convert to fraction form
    53,338/76,225 = 76,225/x
  3. Step 3: Cross multiply
    53,338x = 76,225 × 76,225
  4. Step 4: Simplify right side
    53,338x = 5,810,250,625
  5. Step 5: Solve for x
    x = 5,810,250,625/53,338
  6. Step 6: Final answer
    x = 108,932.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.