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Finding the Third Proportional to 94,244 and 138,543

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Solution

The third proportional to 94,244 and 138,543 is: 203,664.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,244 : 138,543 = 138,543 : x
  2. Step 2: Convert to fraction form
    94,244/138,543 = 138,543/x
  3. Step 3: Cross multiply
    94,244x = 138,543 × 138,543
  4. Step 4: Simplify right side
    94,244x = 19,194,162,849
  5. Step 5: Solve for x
    x = 19,194,162,849/94,244
  6. Step 6: Final answer
    x = 203,664.56

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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.