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Finding the Third Proportional to 114,154 and 181,801

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Solution

The third proportional to 114,154 and 181,801 is: 289,535.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,154 : 181,801 = 181,801 : x
  2. Step 2: Convert to fraction form
    114,154/181,801 = 181,801/x
  3. Step 3: Cross multiply
    114,154x = 181,801 × 181,801
  4. Step 4: Simplify right side
    114,154x = 33,051,603,601
  5. Step 5: Solve for x
    x = 33,051,603,601/114,154
  6. Step 6: Final answer
    x = 289,535.22

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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.