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Finding the Third Proportional to 79,734 and 164,652

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Solution

The third proportional to 79,734 and 164,652 is: 340,009.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,734 : 164,652 = 164,652 : x
  2. Step 2: Convert to fraction form
    79,734/164,652 = 164,652/x
  3. Step 3: Cross multiply
    79,734x = 164,652 × 164,652
  4. Step 4: Simplify right side
    79,734x = 27,110,281,104
  5. Step 5: Solve for x
    x = 27,110,281,104/79,734
  6. Step 6: Final answer
    x = 340,009.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.