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Finding the Third Proportional to 64,033.44 and 102,884.56

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Solution

The third proportional to 64,033.44 and 102,884.56 is: 165,307.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,033.44 : 102,884.56 = 102,884.56 : x
  2. Step 2: Convert to fraction form
    64,033.44/102,884.56 = 102,884.56/x
  3. Step 3: Cross multiply
    64,033.44x = 102,884.56 × 102,884.56
  4. Step 4: Simplify right side
    64,033.44x = 10,585,233,200.82
  5. Step 5: Solve for x
    x = 10,585,233,200.82/64,033.44
  6. Step 6: Final answer
    x = 165,307.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.