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Finding the Third Proportional to 61,012 and 133,064

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Solution

The third proportional to 61,012 and 133,064 is: 290,205.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,012 : 133,064 = 133,064 : x
  2. Step 2: Convert to fraction form
    61,012/133,064 = 133,064/x
  3. Step 3: Cross multiply
    61,012x = 133,064 × 133,064
  4. Step 4: Simplify right side
    61,012x = 17,706,028,096
  5. Step 5: Solve for x
    x = 17,706,028,096/61,012
  6. Step 6: Final answer
    x = 290,205.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.