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Finding the Third Proportional to 114,128 and 178,102

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Solution

The third proportional to 114,128 and 178,102 is: 277,936.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,128 : 178,102 = 178,102 : x
  2. Step 2: Convert to fraction form
    114,128/178,102 = 178,102/x
  3. Step 3: Cross multiply
    114,128x = 178,102 × 178,102
  4. Step 4: Simplify right side
    114,128x = 31,720,322,404
  5. Step 5: Solve for x
    x = 31,720,322,404/114,128
  6. Step 6: Final answer
    x = 277,936.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.