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Finding the Third Proportional to 50,089.50 and 74,978.25

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Solution

The third proportional to 50,089.50 and 74,978.25 is: 112,233.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,089.50 : 74,978.25 = 74,978.25 : x
  2. Step 2: Convert to fraction form
    50,089.50/74,978.25 = 74,978.25/x
  3. Step 3: Cross multiply
    50,089.50x = 74,978.25 × 74,978.25
  4. Step 4: Simplify right side
    50,089.50x = 5,621,737,973.06
  5. Step 5: Solve for x
    x = 5,621,737,973.06/50,089.50
  6. Step 6: Final answer
    x = 112,233.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.