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Finding the Third Proportional to 31,792 and 69,056

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Solution

The third proportional to 31,792 and 69,056 is: 149,997.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,792 : 69,056 = 69,056 : x
  2. Step 2: Convert to fraction form
    31,792/69,056 = 69,056/x
  3. Step 3: Cross multiply
    31,792x = 69,056 × 69,056
  4. Step 4: Simplify right side
    31,792x = 4,768,731,136
  5. Step 5: Solve for x
    x = 4,768,731,136/31,792
  6. Step 6: Final answer
    x = 149,997.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.