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Finding the Third Proportional to 64,221.75 and 85,214.63

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Solution

The third proportional to 64,221.75 and 85,214.63 is: 113,069.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,221.75 : 85,214.63 = 85,214.63 : x
  2. Step 2: Convert to fraction form
    64,221.75/85,214.63 = 85,214.63/x
  3. Step 3: Cross multiply
    64,221.75x = 85,214.63 × 85,214.63
  4. Step 4: Simplify right side
    64,221.75x = 7,261,532,313.89
  5. Step 5: Solve for x
    x = 7,261,532,313.89/64,221.75
  6. Step 6: Final answer
    x = 113,069.67

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.