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Finding the Third Proportional to 49,873 and 109,130

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Solution

The third proportional to 49,873 and 109,130 is: 238,793.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,873 : 109,130 = 109,130 : x
  2. Step 2: Convert to fraction form
    49,873/109,130 = 109,130/x
  3. Step 3: Cross multiply
    49,873x = 109,130 × 109,130
  4. Step 4: Simplify right side
    49,873x = 11,909,356,900
  5. Step 5: Solve for x
    x = 11,909,356,900/49,873
  6. Step 6: Final answer
    x = 238,793.67

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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.