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Finding the Third Proportional to 49,898 and 76,303

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Solution

The third proportional to 49,898 and 76,303 is: 116,680.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,898 : 76,303 = 76,303 : x
  2. Step 2: Convert to fraction form
    49,898/76,303 = 76,303/x
  3. Step 3: Cross multiply
    49,898x = 76,303 × 76,303
  4. Step 4: Simplify right side
    49,898x = 5,822,147,809
  5. Step 5: Solve for x
    x = 5,822,147,809/49,898
  6. Step 6: Final answer
    x = 116,680.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.