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Finding the Third Proportional to 68,142.94 and 104,594.63

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Solution

The third proportional to 68,142.94 and 104,594.63 is: 160,545.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,142.94 : 104,594.63 = 104,594.63 : x
  2. Step 2: Convert to fraction form
    68,142.94/104,594.63 = 104,594.63/x
  3. Step 3: Cross multiply
    68,142.94x = 104,594.63 × 104,594.63
  4. Step 4: Simplify right side
    68,142.94x = 10,940,035,578.89
  5. Step 5: Solve for x
    x = 10,940,035,578.89/68,142.94
  6. Step 6: Final answer
    x = 160,545.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.