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Finding the Third Proportional to 51,946 and 113,612

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Solution

The third proportional to 51,946 and 113,612 is: 248,482.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,946 : 113,612 = 113,612 : x
  2. Step 2: Convert to fraction form
    51,946/113,612 = 113,612/x
  3. Step 3: Cross multiply
    51,946x = 113,612 × 113,612
  4. Step 4: Simplify right side
    51,946x = 12,907,686,544
  5. Step 5: Solve for x
    x = 12,907,686,544/51,946
  6. Step 6: Final answer
    x = 248,482.78

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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.