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Finding the Third Proportional to 58,333 and 127,966

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Solution

The third proportional to 58,333 and 127,966 is: 280,720.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,333 : 127,966 = 127,966 : x
  2. Step 2: Convert to fraction form
    58,333/127,966 = 127,966/x
  3. Step 3: Cross multiply
    58,333x = 127,966 × 127,966
  4. Step 4: Simplify right side
    58,333x = 16,375,297,156
  5. Step 5: Solve for x
    x = 16,375,297,156/58,333
  6. Step 6: Final answer
    x = 280,720.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.