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Finding the Third Proportional to 33,792 and 78,220

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Solution

The third proportional to 33,792 and 78,220 is: 181,059.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,792 : 78,220 = 78,220 : x
  2. Step 2: Convert to fraction form
    33,792/78,220 = 78,220/x
  3. Step 3: Cross multiply
    33,792x = 78,220 × 78,220
  4. Step 4: Simplify right side
    33,792x = 6,118,368,400
  5. Step 5: Solve for x
    x = 6,118,368,400/33,792
  6. Step 6: Final answer
    x = 181,059.67

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.