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Finding the Third Proportional to 50,266.75 and 74,230.50

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Solution

The third proportional to 50,266.75 and 74,230.50 is: 109,618.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,266.75 : 74,230.50 = 74,230.50 : x
  2. Step 2: Convert to fraction form
    50,266.75/74,230.50 = 74,230.50/x
  3. Step 3: Cross multiply
    50,266.75x = 74,230.50 × 74,230.50
  4. Step 4: Simplify right side
    50,266.75x = 5,510,167,130.25
  5. Step 5: Solve for x
    x = 5,510,167,130.25/50,266.75
  6. Step 6: Final answer
    x = 109,618.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.