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Finding the Third Proportional to 39,108 and 83,064

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Solution

The third proportional to 39,108 and 83,064 is: 176,424.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,108 : 83,064 = 83,064 : x
  2. Step 2: Convert to fraction form
    39,108/83,064 = 83,064/x
  3. Step 3: Cross multiply
    39,108x = 83,064 × 83,064
  4. Step 4: Simplify right side
    39,108x = 6,899,628,096
  5. Step 5: Solve for x
    x = 6,899,628,096/39,108
  6. Step 6: Final answer
    x = 176,424.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.