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Finding the Third Proportional to 73,792 and 115,296

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Solution

The third proportional to 73,792 and 115,296 is: 180,143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,792 : 115,296 = 115,296 : x
  2. Step 2: Convert to fraction form
    73,792/115,296 = 115,296/x
  3. Step 3: Cross multiply
    73,792x = 115,296 × 115,296
  4. Step 4: Simplify right side
    73,792x = 13,293,167,616
  5. Step 5: Solve for x
    x = 13,293,167,616/73,792
  6. Step 6: Final answer
    x = 180,143.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.