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Finding the Third Proportional to 73,573 and 113,899

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Solution

The third proportional to 73,573 and 113,899 is: 176,328.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,573 : 113,899 = 113,899 : x
  2. Step 2: Convert to fraction form
    73,573/113,899 = 113,899/x
  3. Step 3: Cross multiply
    73,573x = 113,899 × 113,899
  4. Step 4: Simplify right side
    73,573x = 12,972,982,201
  5. Step 5: Solve for x
    x = 12,972,982,201/73,573
  6. Step 6: Final answer
    x = 176,328.03

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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.