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Finding the Third Proportional to 58,453 and 126,869

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Solution

The third proportional to 58,453 and 126,869 is: 275,362.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,453 : 126,869 = 126,869 : x
  2. Step 2: Convert to fraction form
    58,453/126,869 = 126,869/x
  3. Step 3: Cross multiply
    58,453x = 126,869 × 126,869
  4. Step 4: Simplify right side
    58,453x = 16,095,743,161
  5. Step 5: Solve for x
    x = 16,095,743,161/58,453
  6. Step 6: Final answer
    x = 275,362.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.