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Finding the Third Proportional to 37,136 and 60,962

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Solution

The third proportional to 37,136 and 60,962 is: 100,074.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,136 : 60,962 = 60,962 : x
  2. Step 2: Convert to fraction form
    37,136/60,962 = 60,962/x
  3. Step 3: Cross multiply
    37,136x = 60,962 × 60,962
  4. Step 4: Simplify right side
    37,136x = 3,716,365,444
  5. Step 5: Solve for x
    x = 3,716,365,444/37,136
  6. Step 6: Final answer
    x = 100,074.47

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.