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Finding the Third Proportional to 43,906 and 96,148

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Solution

The third proportional to 43,906 and 96,148 is: 210,550.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,906 : 96,148 = 96,148 : x
  2. Step 2: Convert to fraction form
    43,906/96,148 = 96,148/x
  3. Step 3: Cross multiply
    43,906x = 96,148 × 96,148
  4. Step 4: Simplify right side
    43,906x = 9,244,437,904
  5. Step 5: Solve for x
    x = 9,244,437,904/43,906
  6. Step 6: Final answer
    x = 210,550.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.