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Finding the Third Proportional to 72,847.50 and 110,790.75

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Solution

The third proportional to 72,847.50 and 110,790.75 is: 168,497.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,847.50 : 110,790.75 = 110,790.75 : x
  2. Step 2: Convert to fraction form
    72,847.50/110,790.75 = 110,790.75/x
  3. Step 3: Cross multiply
    72,847.50x = 110,790.75 × 110,790.75
  4. Step 4: Simplify right side
    72,847.50x = 12,274,590,285.56
  5. Step 5: Solve for x
    x = 12,274,590,285.56/72,847.50
  6. Step 6: Final answer
    x = 168,497.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.