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Finding the Third Proportional to 69,092 and 151,064

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Solution

The third proportional to 69,092 and 151,064 is: 330,289.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,092 : 151,064 = 151,064 : x
  2. Step 2: Convert to fraction form
    69,092/151,064 = 151,064/x
  3. Step 3: Cross multiply
    69,092x = 151,064 × 151,064
  4. Step 4: Simplify right side
    69,092x = 22,820,332,096
  5. Step 5: Solve for x
    x = 22,820,332,096/69,092
  6. Step 6: Final answer
    x = 330,289.07

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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.