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Finding the Third Proportional to 64,033.03 and 102,883.92

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Solution

The third proportional to 64,033.03 and 102,883.92 is: 165,306.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,033.03 : 102,883.92 = 102,883.92 : x
  2. Step 2: Convert to fraction form
    64,033.03/102,883.92 = 102,883.92/x
  3. Step 3: Cross multiply
    64,033.03x = 102,883.92 × 102,883.92
  4. Step 4: Simplify right side
    64,033.03x = 10,585,101,380.38
  5. Step 5: Solve for x
    x = 10,585,101,380.38/64,033.03
  6. Step 6: Final answer
    x = 165,306.89

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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.