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Finding the Third Proportional to 44,340 and 94,914

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Solution

The third proportional to 44,340 and 94,914 is: 203,172.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,340 : 94,914 = 94,914 : x
  2. Step 2: Convert to fraction form
    44,340/94,914 = 94,914/x
  3. Step 3: Cross multiply
    44,340x = 94,914 × 94,914
  4. Step 4: Simplify right side
    44,340x = 9,008,667,396
  5. Step 5: Solve for x
    x = 9,008,667,396/44,340
  6. Step 6: Final answer
    x = 203,172.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.