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Finding the Third Proportional to 73,918 and 115,823

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Solution

The third proportional to 73,918 and 115,823 is: 181,484.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,918 : 115,823 = 115,823 : x
  2. Step 2: Convert to fraction form
    73,918/115,823 = 115,823/x
  3. Step 3: Cross multiply
    73,918x = 115,823 × 115,823
  4. Step 4: Simplify right side
    73,918x = 13,414,967,329
  5. Step 5: Solve for x
    x = 13,414,967,329/73,918
  6. Step 6: Final answer
    x = 181,484.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.