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Finding the Third Proportional to 74,674 and 161,234

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Solution

The third proportional to 74,674 and 161,234 is: 348,131.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,674 : 161,234 = 161,234 : x
  2. Step 2: Convert to fraction form
    74,674/161,234 = 161,234/x
  3. Step 3: Cross multiply
    74,674x = 161,234 × 161,234
  4. Step 4: Simplify right side
    74,674x = 25,996,402,756
  5. Step 5: Solve for x
    x = 25,996,402,756/74,674
  6. Step 6: Final answer
    x = 348,131.92

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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.