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Finding the Third Proportional to 67,083.19 and 146,604.94

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Solution

The third proportional to 67,083.19 and 146,604.94 is: 320,393.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,083.19 : 146,604.94 = 146,604.94 : x
  2. Step 2: Convert to fraction form
    67,083.19/146,604.94 = 146,604.94/x
  3. Step 3: Cross multiply
    67,083.19x = 146,604.94 × 146,604.94
  4. Step 4: Simplify right side
    67,083.19x = 21,493,007,699.38
  5. Step 5: Solve for x
    x = 21,493,007,699.38/67,083.19
  6. Step 6: Final answer
    x = 320,393.36

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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.