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Finding the Third Proportional to 51,356 and 110,377

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Solution

The third proportional to 51,356 and 110,377 is: 237,228.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,356 : 110,377 = 110,377 : x
  2. Step 2: Convert to fraction form
    51,356/110,377 = 110,377/x
  3. Step 3: Cross multiply
    51,356x = 110,377 × 110,377
  4. Step 4: Simplify right side
    51,356x = 12,183,082,129
  5. Step 5: Solve for x
    x = 12,183,082,129/51,356
  6. Step 6: Final answer
    x = 237,228.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.