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Finding the Third Proportional to 51,770 and 113,017

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Solution

The third proportional to 51,770 and 113,017 is: 246,722.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,770 : 113,017 = 113,017 : x
  2. Step 2: Convert to fraction form
    51,770/113,017 = 113,017/x
  3. Step 3: Cross multiply
    51,770x = 113,017 × 113,017
  4. Step 4: Simplify right side
    51,770x = 12,772,842,289
  5. Step 5: Solve for x
    x = 12,772,842,289/51,770
  6. Step 6: Final answer
    x = 246,722.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.