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Finding the Third Proportional to 114,166 and 181,823

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Solution

The third proportional to 114,166 and 181,823 is: 289,574.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,166 : 181,823 = 181,823 : x
  2. Step 2: Convert to fraction form
    114,166/181,823 = 181,823/x
  3. Step 3: Cross multiply
    114,166x = 181,823 × 181,823
  4. Step 4: Simplify right side
    114,166x = 33,059,603,329
  5. Step 5: Solve for x
    x = 33,059,603,329/114,166
  6. Step 6: Final answer
    x = 289,574.86

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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.