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Finding the Third Proportional to 51,164 and 110,392

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Solution

The third proportional to 51,164 and 110,392 is: 238,182.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,164 : 110,392 = 110,392 : x
  2. Step 2: Convert to fraction form
    51,164/110,392 = 110,392/x
  3. Step 3: Cross multiply
    51,164x = 110,392 × 110,392
  4. Step 4: Simplify right side
    51,164x = 12,186,393,664
  5. Step 5: Solve for x
    x = 12,186,393,664/51,164
  6. Step 6: Final answer
    x = 238,182.97

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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.