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Finding the Third Proportional to 49,320 and 109,176

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Solution

The third proportional to 49,320 and 109,176 is: 241,674.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,320 : 109,176 = 109,176 : x
  2. Step 2: Convert to fraction form
    49,320/109,176 = 109,176/x
  3. Step 3: Cross multiply
    49,320x = 109,176 × 109,176
  4. Step 4: Simplify right side
    49,320x = 11,919,398,976
  5. Step 5: Solve for x
    x = 11,919,398,976/49,320
  6. Step 6: Final answer
    x = 241,674.76

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.