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Finding the Third Proportional to 40,273 and 94,754.50

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Solution

The third proportional to 40,273 and 94,754.50 is: 222,938.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,273 : 94,754.50 = 94,754.50 : x
  2. Step 2: Convert to fraction form
    40,273/94,754.50 = 94,754.50/x
  3. Step 3: Cross multiply
    40,273x = 94,754.50 × 94,754.50
  4. Step 4: Simplify right side
    40,273x = 8,978,415,270.25
  5. Step 5: Solve for x
    x = 8,978,415,270.25/40,273
  6. Step 6: Final answer
    x = 222,938.82

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.