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Finding the Third Proportional to 51,618 and 113,072

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Solution

The third proportional to 51,618 and 113,072 is: 247,690.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,618 : 113,072 = 113,072 : x
  2. Step 2: Convert to fraction form
    51,618/113,072 = 113,072/x
  3. Step 3: Cross multiply
    51,618x = 113,072 × 113,072
  4. Step 4: Simplify right side
    51,618x = 12,785,277,184
  5. Step 5: Solve for x
    x = 12,785,277,184/51,618
  6. Step 6: Final answer
    x = 247,690.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.