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Finding the Third Proportional to 33,576 and 73,143

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Solution

The third proportional to 33,576 and 73,143 is: 159,336.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,576 : 73,143 = 73,143 : x
  2. Step 2: Convert to fraction form
    33,576/73,143 = 73,143/x
  3. Step 3: Cross multiply
    33,576x = 73,143 × 73,143
  4. Step 4: Simplify right side
    33,576x = 5,349,898,449
  5. Step 5: Solve for x
    x = 5,349,898,449/33,576
  6. Step 6: Final answer
    x = 159,336.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.