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Finding the Third Proportional to 47,200 and 70,704

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Solution

The third proportional to 47,200 and 70,704 is: 105,912.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,200 : 70,704 = 70,704 : x
  2. Step 2: Convert to fraction form
    47,200/70,704 = 70,704/x
  3. Step 3: Cross multiply
    47,200x = 70,704 × 70,704
  4. Step 4: Simplify right side
    47,200x = 4,999,055,616
  5. Step 5: Solve for x
    x = 4,999,055,616/47,200
  6. Step 6: Final answer
    x = 105,912.20

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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.