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Finding the Third Proportional to 48,600 and 104,436

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Solution

The third proportional to 48,600 and 104,436 is: 224,421.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,600 : 104,436 = 104,436 : x
  2. Step 2: Convert to fraction form
    48,600/104,436 = 104,436/x
  3. Step 3: Cross multiply
    48,600x = 104,436 × 104,436
  4. Step 4: Simplify right side
    48,600x = 10,906,878,096
  5. Step 5: Solve for x
    x = 10,906,878,096/48,600
  6. Step 6: Final answer
    x = 224,421.36

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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.