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Finding the Third Proportional to 73,044 and 109,404

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Solution

The third proportional to 73,044 and 109,404 is: 163,863.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,044 : 109,404 = 109,404 : x
  2. Step 2: Convert to fraction form
    73,044/109,404 = 109,404/x
  3. Step 3: Cross multiply
    73,044x = 109,404 × 109,404
  4. Step 4: Simplify right side
    73,044x = 11,969,235,216
  5. Step 5: Solve for x
    x = 11,969,235,216/73,044
  6. Step 6: Final answer
    x = 163,863.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.