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Finding the Third Proportional to 48,102 and 102,738

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Solution

The third proportional to 48,102 and 102,738 is: 219,431.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,102 : 102,738 = 102,738 : x
  2. Step 2: Convert to fraction form
    48,102/102,738 = 102,738/x
  3. Step 3: Cross multiply
    48,102x = 102,738 × 102,738
  4. Step 4: Simplify right side
    48,102x = 10,555,096,644
  5. Step 5: Solve for x
    x = 10,555,096,644/48,102
  6. Step 6: Final answer
    x = 219,431.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.