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Finding the Third Proportional to 77,618 and 167,693

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Solution

The third proportional to 77,618 and 167,693 is: 362,299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,618 : 167,693 = 167,693 : x
  2. Step 2: Convert to fraction form
    77,618/167,693 = 167,693/x
  3. Step 3: Cross multiply
    77,618x = 167,693 × 167,693
  4. Step 4: Simplify right side
    77,618x = 28,120,942,249
  5. Step 5: Solve for x
    x = 28,120,942,249/77,618
  6. Step 6: Final answer
    x = 362,299.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.