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Finding the Third Proportional to 114,002 and 161,844

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Solution

The third proportional to 114,002 and 161,844 is: 229,763.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,002 : 161,844 = 161,844 : x
  2. Step 2: Convert to fraction form
    114,002/161,844 = 161,844/x
  3. Step 3: Cross multiply
    114,002x = 161,844 × 161,844
  4. Step 4: Simplify right side
    114,002x = 26,193,480,336
  5. Step 5: Solve for x
    x = 26,193,480,336/114,002
  6. Step 6: Final answer
    x = 229,763.34

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.