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Finding the Third Proportional to 43,926 and 103,642.50

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Solution

The third proportional to 43,926 and 103,642.50 is: 244,542.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,926 : 103,642.50 = 103,642.50 : x
  2. Step 2: Convert to fraction form
    43,926/103,642.50 = 103,642.50/x
  3. Step 3: Cross multiply
    43,926x = 103,642.50 × 103,642.50
  4. Step 4: Simplify right side
    43,926x = 10,741,767,806.25
  5. Step 5: Solve for x
    x = 10,741,767,806.25/43,926
  6. Step 6: Final answer
    x = 244,542.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.