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Finding the Third Proportional to 44,772.75 and 94,142.25

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Solution

The third proportional to 44,772.75 and 94,142.25 is: 197,949.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,772.75 : 94,142.25 = 94,142.25 : x
  2. Step 2: Convert to fraction form
    44,772.75/94,142.25 = 94,142.25/x
  3. Step 3: Cross multiply
    44,772.75x = 94,142.25 × 94,142.25
  4. Step 4: Simplify right side
    44,772.75x = 8,862,763,235.06
  5. Step 5: Solve for x
    x = 8,862,763,235.06/44,772.75
  6. Step 6: Final answer
    x = 197,949.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.