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Finding the Third Proportional to 47,768.06 and 111,558.94

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Solution

The third proportional to 47,768.06 and 111,558.94 is: 260,538.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,768.06 : 111,558.94 = 111,558.94 : x
  2. Step 2: Convert to fraction form
    47,768.06/111,558.94 = 111,558.94/x
  3. Step 3: Cross multiply
    47,768.06x = 111,558.94 × 111,558.94
  4. Step 4: Simplify right side
    47,768.06x = 12,445,396,536.13
  5. Step 5: Solve for x
    x = 12,445,396,536.13/47,768.06
  6. Step 6: Final answer
    x = 260,538.02

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.