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Finding the Third Proportional to 49,273 and 111,699

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Solution

The third proportional to 49,273 and 111,699 is: 253,215.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,273 : 111,699 = 111,699 : x
  2. Step 2: Convert to fraction form
    49,273/111,699 = 111,699/x
  3. Step 3: Cross multiply
    49,273x = 111,699 × 111,699
  4. Step 4: Simplify right side
    49,273x = 12,476,666,601
  5. Step 5: Solve for x
    x = 12,476,666,601/49,273
  6. Step 6: Final answer
    x = 253,215.08

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.