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Finding the Third Proportional to 74,625 and 161,277

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Solution

The third proportional to 74,625 and 161,277 is: 348,546.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,625 : 161,277 = 161,277 : x
  2. Step 2: Convert to fraction form
    74,625/161,277 = 161,277/x
  3. Step 3: Cross multiply
    74,625x = 161,277 × 161,277
  4. Step 4: Simplify right side
    74,625x = 26,010,270,729
  5. Step 5: Solve for x
    x = 26,010,270,729/74,625
  6. Step 6: Final answer
    x = 348,546.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.