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Finding the Third Proportional to 36,136 and 74,576

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Solution

The third proportional to 36,136 and 74,576 is: 153,906.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,136 : 74,576 = 74,576 : x
  2. Step 2: Convert to fraction form
    36,136/74,576 = 74,576/x
  3. Step 3: Cross multiply
    36,136x = 74,576 × 74,576
  4. Step 4: Simplify right side
    36,136x = 5,561,579,776
  5. Step 5: Solve for x
    x = 5,561,579,776/36,136
  6. Step 6: Final answer
    x = 153,906.90

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.