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Finding the Third Proportional to 90,777 and 139,993.50

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Solution

The third proportional to 90,777 and 139,993.50 is: 215,893.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,777 : 139,993.50 = 139,993.50 : x
  2. Step 2: Convert to fraction form
    90,777/139,993.50 = 139,993.50/x
  3. Step 3: Cross multiply
    90,777x = 139,993.50 × 139,993.50
  4. Step 4: Simplify right side
    90,777x = 19,598,180,042.25
  5. Step 5: Solve for x
    x = 19,598,180,042.25/90,777
  6. Step 6: Final answer
    x = 215,893.67

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.