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Finding the Third Proportional to 48,251 and 106,319

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Solution

The third proportional to 48,251 and 106,319 is: 234,269.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,251 : 106,319 = 106,319 : x
  2. Step 2: Convert to fraction form
    48,251/106,319 = 106,319/x
  3. Step 3: Cross multiply
    48,251x = 106,319 × 106,319
  4. Step 4: Simplify right side
    48,251x = 11,303,729,761
  5. Step 5: Solve for x
    x = 11,303,729,761/48,251
  6. Step 6: Final answer
    x = 234,269.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.