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Finding the Third Proportional to 34,270 and 73,064

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Solution

The third proportional to 34,270 and 73,064 is: 155,773.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,270 : 73,064 = 73,064 : x
  2. Step 2: Convert to fraction form
    34,270/73,064 = 73,064/x
  3. Step 3: Cross multiply
    34,270x = 73,064 × 73,064
  4. Step 4: Simplify right side
    34,270x = 5,338,348,096
  5. Step 5: Solve for x
    x = 5,338,348,096/34,270
  6. Step 6: Final answer
    x = 155,773.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.