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Finding the Third Proportional to 73,044.38 and 109,566.38

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Solution

The third proportional to 73,044.38 and 109,566.38 is: 164,349.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,044.38 : 109,566.38 = 109,566.38 : x
  2. Step 2: Convert to fraction form
    73,044.38/109,566.38 = 109,566.38/x
  3. Step 3: Cross multiply
    73,044.38x = 109,566.38 × 109,566.38
  4. Step 4: Simplify right side
    73,044.38x = 12,004,790,530.64
  5. Step 5: Solve for x
    x = 12,004,790,530.64/73,044.38
  6. Step 6: Final answer
    x = 164,349.28

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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.