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Finding the Third Proportional to 126,245 and 275,088

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Solution

The third proportional to 126,245 and 275,088 is: 599,417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,245 : 275,088 = 275,088 : x
  2. Step 2: Convert to fraction form
    126,245/275,088 = 275,088/x
  3. Step 3: Cross multiply
    126,245x = 275,088 × 275,088
  4. Step 4: Simplify right side
    126,245x = 75,673,407,744
  5. Step 5: Solve for x
    x = 75,673,407,744/126,245
  6. Step 6: Final answer
    x = 599,417.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.