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Finding the Third Proportional to 103,604.25 and 154,767

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Solution

The third proportional to 103,604.25 and 154,767 is: 231,195.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,604.25 : 154,767 = 154,767 : x
  2. Step 2: Convert to fraction form
    103,604.25/154,767 = 154,767/x
  3. Step 3: Cross multiply
    103,604.25x = 154,767 × 154,767
  4. Step 4: Simplify right side
    103,604.25x = 23,952,824,289
  5. Step 5: Solve for x
    x = 23,952,824,289/103,604.25
  6. Step 6: Final answer
    x = 231,195.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.