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Finding the Third Proportional to 63,123 and 94,848

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Solution

The third proportional to 63,123 and 94,848 is: 142,517.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,123 : 94,848 = 94,848 : x
  2. Step 2: Convert to fraction form
    63,123/94,848 = 94,848/x
  3. Step 3: Cross multiply
    63,123x = 94,848 × 94,848
  4. Step 4: Simplify right side
    63,123x = 8,996,143,104
  5. Step 5: Solve for x
    x = 8,996,143,104/63,123
  6. Step 6: Final answer
    x = 142,517.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.