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Finding the Third Proportional to 43,987 and 103,731.50

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Solution

The third proportional to 43,987 and 103,731.50 is: 244,622.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,987 : 103,731.50 = 103,731.50 : x
  2. Step 2: Convert to fraction form
    43,987/103,731.50 = 103,731.50/x
  3. Step 3: Cross multiply
    43,987x = 103,731.50 × 103,731.50
  4. Step 4: Simplify right side
    43,987x = 10,760,224,092.25
  5. Step 5: Solve for x
    x = 10,760,224,092.25/43,987
  6. Step 6: Final answer
    x = 244,622.82

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