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Finding the Third Proportional to 59,185.50 and 127,155

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Solution

The third proportional to 59,185.50 and 127,155 is: 273,181.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,185.50 : 127,155 = 127,155 : x
  2. Step 2: Convert to fraction form
    59,185.50/127,155 = 127,155/x
  3. Step 3: Cross multiply
    59,185.50x = 127,155 × 127,155
  4. Step 4: Simplify right side
    59,185.50x = 16,168,394,025
  5. Step 5: Solve for x
    x = 16,168,394,025/59,185.50
  6. Step 6: Final answer
    x = 273,181.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.