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Finding the Third Proportional to 45,078.75 and 104,355

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Solution

The third proportional to 45,078.75 and 104,355 is: 241,576.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,078.75 : 104,355 = 104,355 : x
  2. Step 2: Convert to fraction form
    45,078.75/104,355 = 104,355/x
  3. Step 3: Cross multiply
    45,078.75x = 104,355 × 104,355
  4. Step 4: Simplify right side
    45,078.75x = 10,889,966,025
  5. Step 5: Solve for x
    x = 10,889,966,025/45,078.75
  6. Step 6: Final answer
    x = 241,576.49

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.