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Finding the Third Proportional to 36,346 and 74,164

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Solution

The third proportional to 36,346 and 74,164 is: 151,331.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,346 : 74,164 = 74,164 : x
  2. Step 2: Convert to fraction form
    36,346/74,164 = 74,164/x
  3. Step 3: Cross multiply
    36,346x = 74,164 × 74,164
  4. Step 4: Simplify right side
    36,346x = 5,500,298,896
  5. Step 5: Solve for x
    x = 5,500,298,896/36,346
  6. Step 6: Final answer
    x = 151,331.62

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.