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Finding the Third Proportional to 72,103.92 and 111,935.67

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Solution

The third proportional to 72,103.92 and 111,935.67 is: 173,771.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,103.92 : 111,935.67 = 111,935.67 : x
  2. Step 2: Convert to fraction form
    72,103.92/111,935.67 = 111,935.67/x
  3. Step 3: Cross multiply
    72,103.92x = 111,935.67 × 111,935.67
  4. Step 4: Simplify right side
    72,103.92x = 12,529,594,638.11
  5. Step 5: Solve for x
    x = 12,529,594,638.11/72,103.92
  6. Step 6: Final answer
    x = 173,771.33

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.