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Finding the Third Proportional to 66,369.38 and 102,743.44

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Solution

The third proportional to 66,369.38 and 102,743.44 is: 159,052.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,369.38 : 102,743.44 = 102,743.44 : x
  2. Step 2: Convert to fraction form
    66,369.38/102,743.44 = 102,743.44/x
  3. Step 3: Cross multiply
    66,369.38x = 102,743.44 × 102,743.44
  4. Step 4: Simplify right side
    66,369.38x = 10,556,213,949.32
  5. Step 5: Solve for x
    x = 10,556,213,949.32/66,369.38
  6. Step 6: Final answer
    x = 159,052.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.