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Finding the Third Proportional to 32,486 and 72,351

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Solution

The third proportional to 32,486 and 72,351 is: 161,136.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,486 : 72,351 = 72,351 : x
  2. Step 2: Convert to fraction form
    32,486/72,351 = 72,351/x
  3. Step 3: Cross multiply
    32,486x = 72,351 × 72,351
  4. Step 4: Simplify right side
    32,486x = 5,234,667,201
  5. Step 5: Solve for x
    x = 5,234,667,201/32,486
  6. Step 6: Final answer
    x = 161,136.10

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.