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Finding the Third Proportional to 113,466.94 and 154,175.63

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Solution

The third proportional to 113,466.94 and 154,175.63 is: 209,489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,466.94 : 154,175.63 = 154,175.63 : x
  2. Step 2: Convert to fraction form
    113,466.94/154,175.63 = 154,175.63/x
  3. Step 3: Cross multiply
    113,466.94x = 154,175.63 × 154,175.63
  4. Step 4: Simplify right side
    113,466.94x = 23,770,123,344.14
  5. Step 5: Solve for x
    x = 23,770,123,344.14/113,466.94
  6. Step 6: Final answer
    x = 209,489.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.