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Finding the Third Proportional to 80,913 and 176,589

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Solution

The third proportional to 80,913 and 176,589 is: 385,397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,913 : 176,589 = 176,589 : x
  2. Step 2: Convert to fraction form
    80,913/176,589 = 176,589/x
  3. Step 3: Cross multiply
    80,913x = 176,589 × 176,589
  4. Step 4: Simplify right side
    80,913x = 31,183,674,921
  5. Step 5: Solve for x
    x = 31,183,674,921/80,913
  6. Step 6: Final answer
    x = 385,397.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.