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Finding the Third Proportional to 45,041.06 and 104,257.97

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Solution

The third proportional to 45,041.06 and 104,257.97 is: 241,329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,041.06 : 104,257.97 = 104,257.97 : x
  2. Step 2: Convert to fraction form
    45,041.06/104,257.97 = 104,257.97/x
  3. Step 3: Cross multiply
    45,041.06x = 104,257.97 × 104,257.97
  4. Step 4: Simplify right side
    45,041.06x = 10,869,724,047.88
  5. Step 5: Solve for x
    x = 10,869,724,047.88/45,041.06
  6. Step 6: Final answer
    x = 241,329.21

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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.