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Finding the Third Proportional to 133,138 and 292,064

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Solution

The third proportional to 133,138 and 292,064 is: 640,698.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,138 : 292,064 = 292,064 : x
  2. Step 2: Convert to fraction form
    133,138/292,064 = 292,064/x
  3. Step 3: Cross multiply
    133,138x = 292,064 × 292,064
  4. Step 4: Simplify right side
    133,138x = 85,301,380,096
  5. Step 5: Solve for x
    x = 85,301,380,096/133,138
  6. Step 6: Final answer
    x = 640,698.97

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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.