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Finding the Third Proportional to 111,735.75 and 159,615.94

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Solution

The third proportional to 111,735.75 and 159,615.94 is: 228,013.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,735.75 : 159,615.94 = 159,615.94 : x
  2. Step 2: Convert to fraction form
    111,735.75/159,615.94 = 159,615.94/x
  3. Step 3: Cross multiply
    111,735.75x = 159,615.94 × 159,615.94
  4. Step 4: Simplify right side
    111,735.75x = 25,477,247,504.00
  5. Step 5: Solve for x
    x = 25,477,247,504.00/111,735.75
  6. Step 6: Final answer
    x = 228,013.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.