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Finding the Third Proportional to 45,540 and 96,444

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Solution

The third proportional to 45,540 and 96,444 is: 204,247.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,540 : 96,444 = 96,444 : x
  2. Step 2: Convert to fraction form
    45,540/96,444 = 96,444/x
  3. Step 3: Cross multiply
    45,540x = 96,444 × 96,444
  4. Step 4: Simplify right side
    45,540x = 9,301,445,136
  5. Step 5: Solve for x
    x = 9,301,445,136/45,540
  6. Step 6: Final answer
    x = 204,247.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.