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Finding the Third Proportional to 76,134 and 163,933

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Solution

The third proportional to 76,134 and 163,933 is: 352,983.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,134 : 163,933 = 163,933 : x
  2. Step 2: Convert to fraction form
    76,134/163,933 = 163,933/x
  3. Step 3: Cross multiply
    76,134x = 163,933 × 163,933
  4. Step 4: Simplify right side
    76,134x = 26,874,028,489
  5. Step 5: Solve for x
    x = 26,874,028,489/76,134
  6. Step 6: Final answer
    x = 352,983.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.