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Finding the Third Proportional to 71,235.50 and 110,738.75

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Solution

The third proportional to 71,235.50 and 110,738.75 is: 172,148.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,235.50 : 110,738.75 = 110,738.75 : x
  2. Step 2: Convert to fraction form
    71,235.50/110,738.75 = 110,738.75/x
  3. Step 3: Cross multiply
    71,235.50x = 110,738.75 × 110,738.75
  4. Step 4: Simplify right side
    71,235.50x = 12,263,070,751.56
  5. Step 5: Solve for x
    x = 12,263,070,751.56/71,235.50
  6. Step 6: Final answer
    x = 172,148.31

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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.