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Finding the Third Proportional to 44,032 and 95,920

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Solution

The third proportional to 44,032 and 95,920 is: 208,953.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,032 : 95,920 = 95,920 : x
  2. Step 2: Convert to fraction form
    44,032/95,920 = 95,920/x
  3. Step 3: Cross multiply
    44,032x = 95,920 × 95,920
  4. Step 4: Simplify right side
    44,032x = 9,200,646,400
  5. Step 5: Solve for x
    x = 9,200,646,400/44,032
  6. Step 6: Final answer
    x = 208,953.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.