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Finding the Third Proportional to 108,618 and 159,027

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Solution

The third proportional to 108,618 and 159,027 is: 232,830.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,618 : 159,027 = 159,027 : x
  2. Step 2: Convert to fraction form
    108,618/159,027 = 159,027/x
  3. Step 3: Cross multiply
    108,618x = 159,027 × 159,027
  4. Step 4: Simplify right side
    108,618x = 25,289,586,729
  5. Step 5: Solve for x
    x = 25,289,586,729/108,618
  6. Step 6: Final answer
    x = 232,830.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.