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Finding the Third Proportional to 51,354 and 110,084

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Solution

The third proportional to 51,354 and 110,084 is: 235,979.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,354 : 110,084 = 110,084 : x
  2. Step 2: Convert to fraction form
    51,354/110,084 = 110,084/x
  3. Step 3: Cross multiply
    51,354x = 110,084 × 110,084
  4. Step 4: Simplify right side
    51,354x = 12,118,487,056
  5. Step 5: Solve for x
    x = 12,118,487,056/51,354
  6. Step 6: Final answer
    x = 235,979.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.