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Finding the Third Proportional to 48,412 and 104,240

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Solution

The third proportional to 48,412 and 104,240 is: 224,448.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,412 : 104,240 = 104,240 : x
  2. Step 2: Convert to fraction form
    48,412/104,240 = 104,240/x
  3. Step 3: Cross multiply
    48,412x = 104,240 × 104,240
  4. Step 4: Simplify right side
    48,412x = 10,865,977,600
  5. Step 5: Solve for x
    x = 10,865,977,600/48,412
  6. Step 6: Final answer
    x = 224,448.02

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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.