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Finding the Third Proportional to 73,059 and 157,404

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Solution

The third proportional to 73,059 and 157,404 is: 339,123.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,059 : 157,404 = 157,404 : x
  2. Step 2: Convert to fraction form
    73,059/157,404 = 157,404/x
  3. Step 3: Cross multiply
    73,059x = 157,404 × 157,404
  4. Step 4: Simplify right side
    73,059x = 24,776,019,216
  5. Step 5: Solve for x
    x = 24,776,019,216/73,059
  6. Step 6: Final answer
    x = 339,123.44

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.