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Finding the Third Proportional to 51,978.75 and 112,698.75

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Solution

The third proportional to 51,978.75 and 112,698.75 is: 244,350.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,978.75 : 112,698.75 = 112,698.75 : x
  2. Step 2: Convert to fraction form
    51,978.75/112,698.75 = 112,698.75/x
  3. Step 3: Cross multiply
    51,978.75x = 112,698.75 × 112,698.75
  4. Step 4: Simplify right side
    51,978.75x = 12,701,008,251.56
  5. Step 5: Solve for x
    x = 12,701,008,251.56/51,978.75
  6. Step 6: Final answer
    x = 244,350.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.