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Finding the Third Proportional to 44,816 and 95,520

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Solution

The third proportional to 44,816 and 95,520 is: 203,589.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,816 : 95,520 = 95,520 : x
  2. Step 2: Convert to fraction form
    44,816/95,520 = 95,520/x
  3. Step 3: Cross multiply
    44,816x = 95,520 × 95,520
  4. Step 4: Simplify right side
    44,816x = 9,124,070,400
  5. Step 5: Solve for x
    x = 9,124,070,400/44,816
  6. Step 6: Final answer
    x = 203,589.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.