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Finding the Third Proportional to 45,240 and 105,081

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Solution

The third proportional to 45,240 and 105,081 is: 244,076.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,240 : 105,081 = 105,081 : x
  2. Step 2: Convert to fraction form
    45,240/105,081 = 105,081/x
  3. Step 3: Cross multiply
    45,240x = 105,081 × 105,081
  4. Step 4: Simplify right side
    45,240x = 11,042,016,561
  5. Step 5: Solve for x
    x = 11,042,016,561/45,240
  6. Step 6: Final answer
    x = 244,076.40

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.