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Finding the Third Proportional to 135,076 and 293,936

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Solution

The third proportional to 135,076 and 293,936 is: 639,627.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,076 : 293,936 = 293,936 : x
  2. Step 2: Convert to fraction form
    135,076/293,936 = 293,936/x
  3. Step 3: Cross multiply
    135,076x = 293,936 × 293,936
  4. Step 4: Simplify right side
    135,076x = 86,398,372,096
  5. Step 5: Solve for x
    x = 86,398,372,096/135,076
  6. Step 6: Final answer
    x = 639,627.85

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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.