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Finding the Third Proportional to 50,537 and 79,040.50

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Solution

The third proportional to 50,537 and 79,040.50 is: 123,620.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,537 : 79,040.50 = 79,040.50 : x
  2. Step 2: Convert to fraction form
    50,537/79,040.50 = 79,040.50/x
  3. Step 3: Cross multiply
    50,537x = 79,040.50 × 79,040.50
  4. Step 4: Simplify right side
    50,537x = 6,247,400,640.25
  5. Step 5: Solve for x
    x = 6,247,400,640.25/50,537
  6. Step 6: Final answer
    x = 123,620.33

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.