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Finding the Third Proportional to 30,706 and 66,110

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Solution

The third proportional to 30,706 and 66,110 is: 142,334.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,706 : 66,110 = 66,110 : x
  2. Step 2: Convert to fraction form
    30,706/66,110 = 66,110/x
  3. Step 3: Cross multiply
    30,706x = 66,110 × 66,110
  4. Step 4: Simplify right side
    30,706x = 4,370,532,100
  5. Step 5: Solve for x
    x = 4,370,532,100/30,706
  6. Step 6: Final answer
    x = 142,334.79

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.