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Finding the Third Proportional to 48,618 and 106,234

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Solution

The third proportional to 48,618 and 106,234 is: 232,129.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,618 : 106,234 = 106,234 : x
  2. Step 2: Convert to fraction form
    48,618/106,234 = 106,234/x
  3. Step 3: Cross multiply
    48,618x = 106,234 × 106,234
  4. Step 4: Simplify right side
    48,618x = 11,285,662,756
  5. Step 5: Solve for x
    x = 11,285,662,756/48,618
  6. Step 6: Final answer
    x = 232,129.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.