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Finding the Third Proportional to 73,618 and 114,801

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Solution

The third proportional to 73,618 and 114,801 is: 179,022.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,618 : 114,801 = 114,801 : x
  2. Step 2: Convert to fraction form
    73,618/114,801 = 114,801/x
  3. Step 3: Cross multiply
    73,618x = 114,801 × 114,801
  4. Step 4: Simplify right side
    73,618x = 13,179,269,601
  5. Step 5: Solve for x
    x = 13,179,269,601/73,618
  6. Step 6: Final answer
    x = 179,022.38

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.