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Finding the Third Proportional to 94,112.25 and 141,378

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Solution

The third proportional to 94,112.25 and 141,378 is: 212,381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,112.25 : 141,378 = 141,378 : x
  2. Step 2: Convert to fraction form
    94,112.25/141,378 = 141,378/x
  3. Step 3: Cross multiply
    94,112.25x = 141,378 × 141,378
  4. Step 4: Simplify right side
    94,112.25x = 19,987,738,884
  5. Step 5: Solve for x
    x = 19,987,738,884/94,112.25
  6. Step 6: Final answer
    x = 212,381.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.