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Finding the Third Proportional to 49,273 and 105,926

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Solution

The third proportional to 49,273 and 105,926 is: 227,717.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,273 : 105,926 = 105,926 : x
  2. Step 2: Convert to fraction form
    49,273/105,926 = 105,926/x
  3. Step 3: Cross multiply
    49,273x = 105,926 × 105,926
  4. Step 4: Simplify right side
    49,273x = 11,220,317,476
  5. Step 5: Solve for x
    x = 11,220,317,476/49,273
  6. Step 6: Final answer
    x = 227,717.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.