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Finding the Third Proportional to 74,102 and 161,814

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Solution

The third proportional to 74,102 and 161,814 is: 353,347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,102 : 161,814 = 161,814 : x
  2. Step 2: Convert to fraction form
    74,102/161,814 = 161,814/x
  3. Step 3: Cross multiply
    74,102x = 161,814 × 161,814
  4. Step 4: Simplify right side
    74,102x = 26,183,770,596
  5. Step 5: Solve for x
    x = 26,183,770,596/74,102
  6. Step 6: Final answer
    x = 353,347.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.