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Finding the Third Proportional to 73,967 and 117,823

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Solution

The third proportional to 73,967 and 117,823 is: 187,681.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,967 : 117,823 = 117,823 : x
  2. Step 2: Convert to fraction form
    73,967/117,823 = 117,823/x
  3. Step 3: Cross multiply
    73,967x = 117,823 × 117,823
  4. Step 4: Simplify right side
    73,967x = 13,882,259,329
  5. Step 5: Solve for x
    x = 13,882,259,329/73,967
  6. Step 6: Final answer
    x = 187,681.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.