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Finding the Third Proportional to 81,618 and 173,024

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Solution

The third proportional to 81,618 and 173,024 is: 366,797.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,618 : 173,024 = 173,024 : x
  2. Step 2: Convert to fraction form
    81,618/173,024 = 173,024/x
  3. Step 3: Cross multiply
    81,618x = 173,024 × 173,024
  4. Step 4: Simplify right side
    81,618x = 29,937,304,576
  5. Step 5: Solve for x
    x = 29,937,304,576/81,618
  6. Step 6: Final answer
    x = 366,797.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.