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Finding the Third Proportional to 58,896 and 126,208

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Solution

The third proportional to 58,896 and 126,208 is: 270,450.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,896 : 126,208 = 126,208 : x
  2. Step 2: Convert to fraction form
    58,896/126,208 = 126,208/x
  3. Step 3: Cross multiply
    58,896x = 126,208 × 126,208
  4. Step 4: Simplify right side
    58,896x = 15,928,459,264
  5. Step 5: Solve for x
    x = 15,928,459,264/58,896
  6. Step 6: Final answer
    x = 270,450.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.