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Finding the Third Proportional to 45,065.50 and 104,324

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Solution

The third proportional to 45,065.50 and 104,324 is: 241,503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,065.50 : 104,324 = 104,324 : x
  2. Step 2: Convert to fraction form
    45,065.50/104,324 = 104,324/x
  3. Step 3: Cross multiply
    45,065.50x = 104,324 × 104,324
  4. Step 4: Simplify right side
    45,065.50x = 10,883,496,976
  5. Step 5: Solve for x
    x = 10,883,496,976/45,065.50
  6. Step 6: Final answer
    x = 241,503.97

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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.