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Finding the Third Proportional to 122,007.50 and 223,765

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Solution

The third proportional to 122,007.50 and 223,765 is: 410,390.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,007.50 : 223,765 = 223,765 : x
  2. Step 2: Convert to fraction form
    122,007.50/223,765 = 223,765/x
  3. Step 3: Cross multiply
    122,007.50x = 223,765 × 223,765
  4. Step 4: Simplify right side
    122,007.50x = 50,070,775,225
  5. Step 5: Solve for x
    x = 50,070,775,225/122,007.50
  6. Step 6: Final answer
    x = 410,390.96

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These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.