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Finding the Third Proportional to 135,063 and 293,910

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Solution

The third proportional to 135,063 and 293,910 is: 639,576.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,063 : 293,910 = 293,910 : x
  2. Step 2: Convert to fraction form
    135,063/293,910 = 293,910/x
  3. Step 3: Cross multiply
    135,063x = 293,910 × 293,910
  4. Step 4: Simplify right side
    135,063x = 86,383,088,100
  5. Step 5: Solve for x
    x = 86,383,088,100/135,063
  6. Step 6: Final answer
    x = 639,576.26

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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.