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Finding the Third Proportional to 136,072.41 and 216,137.11

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Solution

The third proportional to 136,072.41 and 216,137.11 is: 343,311.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,072.41 : 216,137.11 = 216,137.11 : x
  2. Step 2: Convert to fraction form
    136,072.41/216,137.11 = 216,137.11/x
  3. Step 3: Cross multiply
    136,072.41x = 216,137.11 × 216,137.11
  4. Step 4: Simplify right side
    136,072.41x = 46,715,250,048.98
  5. Step 5: Solve for x
    x = 46,715,250,048.98/136,072.41
  6. Step 6: Final answer
    x = 343,311.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.