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Finding the Third Proportional to 50,223.38 and 75,982.50

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Solution

The third proportional to 50,223.38 and 75,982.50 is: 114,953.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,223.38 : 75,982.50 = 75,982.50 : x
  2. Step 2: Convert to fraction form
    50,223.38/75,982.50 = 75,982.50/x
  3. Step 3: Cross multiply
    50,223.38x = 75,982.50 × 75,982.50
  4. Step 4: Simplify right side
    50,223.38x = 5,773,340,306.25
  5. Step 5: Solve for x
    x = 5,773,340,306.25/50,223.38
  6. Step 6: Final answer
    x = 114,953.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.