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Finding the Third Proportional to 73,821 and 114,525

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Solution

The third proportional to 73,821 and 114,525 is: 177,672.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,821 : 114,525 = 114,525 : x
  2. Step 2: Convert to fraction form
    73,821/114,525 = 114,525/x
  3. Step 3: Cross multiply
    73,821x = 114,525 × 114,525
  4. Step 4: Simplify right side
    73,821x = 13,115,975,625
  5. Step 5: Solve for x
    x = 13,115,975,625/73,821
  6. Step 6: Final answer
    x = 177,672.69

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