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Finding the Third Proportional to 35,137.23 and 74,195.68

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Solution

The third proportional to 35,137.23 and 74,195.68 is: 156,671.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,137.23 : 74,195.68 = 74,195.68 : x
  2. Step 2: Convert to fraction form
    35,137.23/74,195.68 = 74,195.68/x
  3. Step 3: Cross multiply
    35,137.23x = 74,195.68 × 74,195.68
  4. Step 4: Simplify right side
    35,137.23x = 5,504,999,463.94
  5. Step 5: Solve for x
    x = 5,504,999,463.94/35,137.23
  6. Step 6: Final answer
    x = 156,671.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.