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Finding the Third Proportional to 114,652 and 165,141

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Solution

The third proportional to 114,652 and 165,141 is: 237,863.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,652 : 165,141 = 165,141 : x
  2. Step 2: Convert to fraction form
    114,652/165,141 = 165,141/x
  3. Step 3: Cross multiply
    114,652x = 165,141 × 165,141
  4. Step 4: Simplify right side
    114,652x = 27,271,549,881
  5. Step 5: Solve for x
    x = 27,271,549,881/114,652
  6. Step 6: Final answer
    x = 237,863.71

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.