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Finding the Third Proportional to 116,768 and 181,176

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Solution

The third proportional to 116,768 and 181,176 is: 281,110.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,768 : 181,176 = 181,176 : x
  2. Step 2: Convert to fraction form
    116,768/181,176 = 181,176/x
  3. Step 3: Cross multiply
    116,768x = 181,176 × 181,176
  4. Step 4: Simplify right side
    116,768x = 32,824,742,976
  5. Step 5: Solve for x
    x = 32,824,742,976/116,768
  6. Step 6: Final answer
    x = 281,110.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.