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Finding the Third Proportional to 74,955 and 158,274

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Solution

The third proportional to 74,955 and 158,274 is: 334,209.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,955 : 158,274 = 158,274 : x
  2. Step 2: Convert to fraction form
    74,955/158,274 = 158,274/x
  3. Step 3: Cross multiply
    74,955x = 158,274 × 158,274
  4. Step 4: Simplify right side
    74,955x = 25,050,659,076
  5. Step 5: Solve for x
    x = 25,050,659,076/74,955
  6. Step 6: Final answer
    x = 334,209.31

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.