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Finding the Third Proportional to 49,367 and 106,030

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Solution

The third proportional to 49,367 and 106,030 is: 227,730.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,367 : 106,030 = 106,030 : x
  2. Step 2: Convert to fraction form
    49,367/106,030 = 106,030/x
  3. Step 3: Cross multiply
    49,367x = 106,030 × 106,030
  4. Step 4: Simplify right side
    49,367x = 11,242,360,900
  5. Step 5: Solve for x
    x = 11,242,360,900/49,367
  6. Step 6: Final answer
    x = 227,730.28

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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.