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Finding the Third Proportional to 70,821 and 103,680

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Solution

The third proportional to 70,821 and 103,680 is: 151,784.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,821 : 103,680 = 103,680 : x
  2. Step 2: Convert to fraction form
    70,821/103,680 = 103,680/x
  3. Step 3: Cross multiply
    70,821x = 103,680 × 103,680
  4. Step 4: Simplify right side
    70,821x = 10,749,542,400
  5. Step 5: Solve for x
    x = 10,749,542,400/70,821
  6. Step 6: Final answer
    x = 151,784.67

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.