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Finding the Third Proportional to 114,126 and 178,098

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Solution

The third proportional to 114,126 and 178,098 is: 277,928.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,126 : 178,098 = 178,098 : x
  2. Step 2: Convert to fraction form
    114,126/178,098 = 178,098/x
  3. Step 3: Cross multiply
    114,126x = 178,098 × 178,098
  4. Step 4: Simplify right side
    114,126x = 31,718,897,604
  5. Step 5: Solve for x
    x = 31,718,897,604/114,126
  6. Step 6: Final answer
    x = 277,928.76

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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.