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Finding the Third Proportional to 44,084 and 96,914

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Solution

The third proportional to 44,084 and 96,914 is: 213,055.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,084 : 96,914 = 96,914 : x
  2. Step 2: Convert to fraction form
    44,084/96,914 = 96,914/x
  3. Step 3: Cross multiply
    44,084x = 96,914 × 96,914
  4. Step 4: Simplify right side
    44,084x = 9,392,323,396
  5. Step 5: Solve for x
    x = 9,392,323,396/44,084
  6. Step 6: Final answer
    x = 213,055.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.