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Finding the Third Proportional to 50,282.50 and 74,554

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Solution

The third proportional to 50,282.50 and 74,554 is: 110,541.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,282.50 : 74,554 = 74,554 : x
  2. Step 2: Convert to fraction form
    50,282.50/74,554 = 74,554/x
  3. Step 3: Cross multiply
    50,282.50x = 74,554 × 74,554
  4. Step 4: Simplify right side
    50,282.50x = 5,558,298,916
  5. Step 5: Solve for x
    x = 5,558,298,916/50,282.50
  6. Step 6: Final answer
    x = 110,541.42

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