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Finding the Third Proportional to 73,954 and 114,732

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Solution

The third proportional to 73,954 and 114,732 is: 177,994.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,954 : 114,732 = 114,732 : x
  2. Step 2: Convert to fraction form
    73,954/114,732 = 114,732/x
  3. Step 3: Cross multiply
    73,954x = 114,732 × 114,732
  4. Step 4: Simplify right side
    73,954x = 13,163,431,824
  5. Step 5: Solve for x
    x = 13,163,431,824/73,954
  6. Step 6: Final answer
    x = 177,994.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.