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Finding the Third Proportional to 114,172 and 181,825

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Solution

The third proportional to 114,172 and 181,825 is: 289,566.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,172 : 181,825 = 181,825 : x
  2. Step 2: Convert to fraction form
    114,172/181,825 = 181,825/x
  3. Step 3: Cross multiply
    114,172x = 181,825 × 181,825
  4. Step 4: Simplify right side
    114,172x = 33,060,330,625
  5. Step 5: Solve for x
    x = 33,060,330,625/114,172
  6. Step 6: Final answer
    x = 289,566.01

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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.