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Finding the Third Proportional to 73,722 and 115,326

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Solution

The third proportional to 73,722 and 115,326 is: 180,408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,722 : 115,326 = 115,326 : x
  2. Step 2: Convert to fraction form
    73,722/115,326 = 115,326/x
  3. Step 3: Cross multiply
    73,722x = 115,326 × 115,326
  4. Step 4: Simplify right side
    73,722x = 13,300,086,276
  5. Step 5: Solve for x
    x = 13,300,086,276/73,722
  6. Step 6: Final answer
    x = 180,408.65

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.