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Finding the Third Proportional to 58,321.69 and 127,198.69

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Solution

The third proportional to 58,321.69 and 127,198.69 is: 277,418.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,321.69 : 127,198.69 = 127,198.69 : x
  2. Step 2: Convert to fraction form
    58,321.69/127,198.69 = 127,198.69/x
  3. Step 3: Cross multiply
    58,321.69x = 127,198.69 × 127,198.69
  4. Step 4: Simplify right side
    58,321.69x = 16,179,506,101.72
  5. Step 5: Solve for x
    x = 16,179,506,101.72/58,321.69
  6. Step 6: Final answer
    x = 277,418.35

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.