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Finding the Third Proportional to 58,233.94 and 127,367.44

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Solution

The third proportional to 58,233.94 and 127,367.44 is: 278,574.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,233.94 : 127,367.44 = 127,367.44 : x
  2. Step 2: Convert to fraction form
    58,233.94/127,367.44 = 127,367.44/x
  3. Step 3: Cross multiply
    58,233.94x = 127,367.44 × 127,367.44
  4. Step 4: Simplify right side
    58,233.94x = 16,222,464,135.32
  5. Step 5: Solve for x
    x = 16,222,464,135.32/58,233.94
  6. Step 6: Final answer
    x = 278,574.06

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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.