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Finding the Third Proportional to 50,865 and 110,486.50

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Solution

The third proportional to 50,865 and 110,486.50 is: 239,993.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,865 : 110,486.50 = 110,486.50 : x
  2. Step 2: Convert to fraction form
    50,865/110,486.50 = 110,486.50/x
  3. Step 3: Cross multiply
    50,865x = 110,486.50 × 110,486.50
  4. Step 4: Simplify right side
    50,865x = 12,207,266,682.25
  5. Step 5: Solve for x
    x = 12,207,266,682.25/50,865
  6. Step 6: Final answer
    x = 239,993.45

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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.