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Finding the Third Proportional to 67,022.44 and 146,847.94

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Solution

The third proportional to 67,022.44 and 146,847.94 is: 321,747.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,022.44 : 146,847.94 = 146,847.94 : x
  2. Step 2: Convert to fraction form
    67,022.44/146,847.94 = 146,847.94/x
  3. Step 3: Cross multiply
    67,022.44x = 146,847.94 × 146,847.94
  4. Step 4: Simplify right side
    67,022.44x = 21,564,316,748.00
  5. Step 5: Solve for x
    x = 21,564,316,748.00/67,022.44
  6. Step 6: Final answer
    x = 321,747.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.