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Finding the Third Proportional to 50,260 and 104,654

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Solution

The third proportional to 50,260 and 104,654 is: 217,916.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,260 : 104,654 = 104,654 : x
  2. Step 2: Convert to fraction form
    50,260/104,654 = 104,654/x
  3. Step 3: Cross multiply
    50,260x = 104,654 × 104,654
  4. Step 4: Simplify right side
    50,260x = 10,952,459,716
  5. Step 5: Solve for x
    x = 10,952,459,716/50,260
  6. Step 6: Final answer
    x = 217,916.03

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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.