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Finding the Third Proportional to 114,164 and 181,816

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Solution

The third proportional to 114,164 and 181,816 is: 289,557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,164 : 181,816 = 181,816 : x
  2. Step 2: Convert to fraction form
    114,164/181,816 = 181,816/x
  3. Step 3: Cross multiply
    114,164x = 181,816 × 181,816
  4. Step 4: Simplify right side
    114,164x = 33,057,057,856
  5. Step 5: Solve for x
    x = 33,057,057,856/114,164
  6. Step 6: Final answer
    x = 289,557.64

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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.