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Finding the Third Proportional to 73,817 and 154,651

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Solution

The third proportional to 73,817 and 154,651 is: 324,003.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,817 : 154,651 = 154,651 : x
  2. Step 2: Convert to fraction form
    73,817/154,651 = 154,651/x
  3. Step 3: Cross multiply
    73,817x = 154,651 × 154,651
  4. Step 4: Simplify right side
    73,817x = 23,916,931,801
  5. Step 5: Solve for x
    x = 23,916,931,801/73,817
  6. Step 6: Final answer
    x = 324,003.03

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Why These Related Problems?

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