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Finding the Third Proportional to 119,616 and 180,768

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Solution

The third proportional to 119,616 and 180,768 is: 273,183.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,616 : 180,768 = 180,768 : x
  2. Step 2: Convert to fraction form
    119,616/180,768 = 180,768/x
  3. Step 3: Cross multiply
    119,616x = 180,768 × 180,768
  4. Step 4: Simplify right side
    119,616x = 32,677,069,824
  5. Step 5: Solve for x
    x = 32,677,069,824/119,616
  6. Step 6: Final answer
    x = 273,183.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.