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Finding the Third Proportional to 48,547 and 104,204

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Solution

The third proportional to 48,547 and 104,204 is: 223,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,547 : 104,204 = 104,204 : x
  2. Step 2: Convert to fraction form
    48,547/104,204 = 104,204/x
  3. Step 3: Cross multiply
    48,547x = 104,204 × 104,204
  4. Step 4: Simplify right side
    48,547x = 10,858,473,616
  5. Step 5: Solve for x
    x = 10,858,473,616/48,547
  6. Step 6: Final answer
    x = 223,669.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.