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Finding the Third Proportional to 58,333 and 127,965

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Solution

The third proportional to 58,333 and 127,965 is: 280,716.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,333 : 127,965 = 127,965 : x
  2. Step 2: Convert to fraction form
    58,333/127,965 = 127,965/x
  3. Step 3: Cross multiply
    58,333x = 127,965 × 127,965
  4. Step 4: Simplify right side
    58,333x = 16,375,041,225
  5. Step 5: Solve for x
    x = 16,375,041,225/58,333
  6. Step 6: Final answer
    x = 280,716.60

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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.