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Finding the Third Proportional to 49,289.25 and 107,700

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Solution

The third proportional to 49,289.25 and 107,700 is: 235,331.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,289.25 : 107,700 = 107,700 : x
  2. Step 2: Convert to fraction form
    49,289.25/107,700 = 107,700/x
  3. Step 3: Cross multiply
    49,289.25x = 107,700 × 107,700
  4. Step 4: Simplify right side
    49,289.25x = 11,599,290,000
  5. Step 5: Solve for x
    x = 11,599,290,000/49,289.25
  6. Step 6: Final answer
    x = 235,331.03

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.