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Finding the Third Proportional to 114,212 and 181,878

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Solution

The third proportional to 114,212 and 181,878 is: 289,633.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,212 : 181,878 = 181,878 : x
  2. Step 2: Convert to fraction form
    114,212/181,878 = 181,878/x
  3. Step 3: Cross multiply
    114,212x = 181,878 × 181,878
  4. Step 4: Simplify right side
    114,212x = 33,079,606,884
  5. Step 5: Solve for x
    x = 33,079,606,884/114,212
  6. Step 6: Final answer
    x = 289,633.37

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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.