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Finding the Third Proportional to 47,274 and 98,315

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Solution

The third proportional to 47,274 and 98,315 is: 204,464.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,274 : 98,315 = 98,315 : x
  2. Step 2: Convert to fraction form
    47,274/98,315 = 98,315/x
  3. Step 3: Cross multiply
    47,274x = 98,315 × 98,315
  4. Step 4: Simplify right side
    47,274x = 9,665,839,225
  5. Step 5: Solve for x
    x = 9,665,839,225/47,274
  6. Step 6: Final answer
    x = 204,464.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.