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Finding the Third Proportional to 57,006 and 133,200

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Solution

The third proportional to 57,006 and 133,200 is: 311,234.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,006 : 133,200 = 133,200 : x
  2. Step 2: Convert to fraction form
    57,006/133,200 = 133,200/x
  3. Step 3: Cross multiply
    57,006x = 133,200 × 133,200
  4. Step 4: Simplify right side
    57,006x = 17,742,240,000
  5. Step 5: Solve for x
    x = 17,742,240,000/57,006
  6. Step 6: Final answer
    x = 311,234.61

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.