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Finding the Third Proportional to 73,244 and 109,868

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Solution

The third proportional to 73,244 and 109,868 is: 164,805.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,244 : 109,868 = 109,868 : x
  2. Step 2: Convert to fraction form
    73,244/109,868 = 109,868/x
  3. Step 3: Cross multiply
    73,244x = 109,868 × 109,868
  4. Step 4: Simplify right side
    73,244x = 12,070,977,424
  5. Step 5: Solve for x
    x = 12,070,977,424/73,244
  6. Step 6: Final answer
    x = 164,805.00

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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.