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Finding the Third Proportional to 48,226 and 100,142

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Solution

The third proportional to 48,226 and 100,142 is: 207,946.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,226 : 100,142 = 100,142 : x
  2. Step 2: Convert to fraction form
    48,226/100,142 = 100,142/x
  3. Step 3: Cross multiply
    48,226x = 100,142 × 100,142
  4. Step 4: Simplify right side
    48,226x = 10,028,420,164
  5. Step 5: Solve for x
    x = 10,028,420,164/48,226
  6. Step 6: Final answer
    x = 207,946.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.