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Finding the Third Proportional to 94,244 and 138,538

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Solution

The third proportional to 94,244 and 138,538 is: 203,649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,244 : 138,538 = 138,538 : x
  2. Step 2: Convert to fraction form
    94,244/138,538 = 138,538/x
  3. Step 3: Cross multiply
    94,244x = 138,538 × 138,538
  4. Step 4: Simplify right side
    94,244x = 19,192,777,444
  5. Step 5: Solve for x
    x = 19,192,777,444/94,244
  6. Step 6: Final answer
    x = 203,649.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.