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Finding the Third Proportional to 45,072 and 104,339

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Solution

The third proportional to 45,072 and 104,339 is: 241,538.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,072 : 104,339 = 104,339 : x
  2. Step 2: Convert to fraction form
    45,072/104,339 = 104,339/x
  3. Step 3: Cross multiply
    45,072x = 104,339 × 104,339
  4. Step 4: Simplify right side
    45,072x = 10,886,626,921
  5. Step 5: Solve for x
    x = 10,886,626,921/45,072
  6. Step 6: Final answer
    x = 241,538.58

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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.