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Finding the Third Proportional to 45,072 and 104,334

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Solution

The third proportional to 45,072 and 104,334 is: 241,515.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,072 : 104,334 = 104,334 : x
  2. Step 2: Convert to fraction form
    45,072/104,334 = 104,334/x
  3. Step 3: Cross multiply
    45,072x = 104,334 × 104,334
  4. Step 4: Simplify right side
    45,072x = 10,885,583,556
  5. Step 5: Solve for x
    x = 10,885,583,556/45,072
  6. Step 6: Final answer
    x = 241,515.43

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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.