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Finding the Third Proportional to 32,972 and 75,136

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Solution

The third proportional to 32,972 and 75,136 is: 171,218.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,972 : 75,136 = 75,136 : x
  2. Step 2: Convert to fraction form
    32,972/75,136 = 75,136/x
  3. Step 3: Cross multiply
    32,972x = 75,136 × 75,136
  4. Step 4: Simplify right side
    32,972x = 5,645,418,496
  5. Step 5: Solve for x
    x = 5,645,418,496/32,972
  6. Step 6: Final answer
    x = 171,218.56

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.