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Finding the Third Proportional to 45,040 and 95,912

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Solution

The third proportional to 45,040 and 95,912 is: 204,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,040 : 95,912 = 95,912 : x
  2. Step 2: Convert to fraction form
    45,040/95,912 = 95,912/x
  3. Step 3: Cross multiply
    45,040x = 95,912 × 95,912
  4. Step 4: Simplify right side
    45,040x = 9,199,111,744
  5. Step 5: Solve for x
    x = 9,199,111,744/45,040
  6. Step 6: Final answer
    x = 204,243.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.