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Finding the Third Proportional to 48,214 and 100,072

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Solution

The third proportional to 48,214 and 100,072 is: 207,707.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,214 : 100,072 = 100,072 : x
  2. Step 2: Convert to fraction form
    48,214/100,072 = 100,072/x
  3. Step 3: Cross multiply
    48,214x = 100,072 × 100,072
  4. Step 4: Simplify right side
    48,214x = 10,014,405,184
  5. Step 5: Solve for x
    x = 10,014,405,184/48,214
  6. Step 6: Final answer
    x = 207,707.41

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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.