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Finding the Third Proportional to 81,328 and 114,378

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Solution

The third proportional to 81,328 and 114,378 is: 160,858.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,328 : 114,378 = 114,378 : x
  2. Step 2: Convert to fraction form
    81,328/114,378 = 114,378/x
  3. Step 3: Cross multiply
    81,328x = 114,378 × 114,378
  4. Step 4: Simplify right side
    81,328x = 13,082,326,884
  5. Step 5: Solve for x
    x = 13,082,326,884/81,328
  6. Step 6: Final answer
    x = 160,858.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.