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Finding the Third Proportional to 48,618 and 100,610

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Solution

The third proportional to 48,618 and 100,610 is: 208,202.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,618 : 100,610 = 100,610 : x
  2. Step 2: Convert to fraction form
    48,618/100,610 = 100,610/x
  3. Step 3: Cross multiply
    48,618x = 100,610 × 100,610
  4. Step 4: Simplify right side
    48,618x = 10,122,372,100
  5. Step 5: Solve for x
    x = 10,122,372,100/48,618
  6. Step 6: Final answer
    x = 208,202.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.