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Finding the Third Proportional to 80,865 and 170,109

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Solution

The third proportional to 80,865 and 170,109 is: 357,844.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,865 : 170,109 = 170,109 : x
  2. Step 2: Convert to fraction form
    80,865/170,109 = 170,109/x
  3. Step 3: Cross multiply
    80,865x = 170,109 × 170,109
  4. Step 4: Simplify right side
    80,865x = 28,937,071,881
  5. Step 5: Solve for x
    x = 28,937,071,881/80,865
  6. Step 6: Final answer
    x = 357,844.21

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.