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Finding the Third Proportional to 51,012 and 120,618

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Solution

The third proportional to 51,012 and 120,618 is: 285,201.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,012 : 120,618 = 120,618 : x
  2. Step 2: Convert to fraction form
    51,012/120,618 = 120,618/x
  3. Step 3: Cross multiply
    51,012x = 120,618 × 120,618
  4. Step 4: Simplify right side
    51,012x = 14,548,701,924
  5. Step 5: Solve for x
    x = 14,548,701,924/51,012
  6. Step 6: Final answer
    x = 285,201.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.