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Finding the Third Proportional to 78,933 and 169,098

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Solution

The third proportional to 78,933 and 169,098 is: 362,258.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,933 : 169,098 = 169,098 : x
  2. Step 2: Convert to fraction form
    78,933/169,098 = 169,098/x
  3. Step 3: Cross multiply
    78,933x = 169,098 × 169,098
  4. Step 4: Simplify right side
    78,933x = 28,594,133,604
  5. Step 5: Solve for x
    x = 28,594,133,604/78,933
  6. Step 6: Final answer
    x = 362,258.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.