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Finding the Third Proportional to 40,944 and 88,800

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Solution

The third proportional to 40,944 and 88,800 is: 192,590.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,944 : 88,800 = 88,800 : x
  2. Step 2: Convert to fraction form
    40,944/88,800 = 88,800/x
  3. Step 3: Cross multiply
    40,944x = 88,800 × 88,800
  4. Step 4: Simplify right side
    40,944x = 7,885,440,000
  5. Step 5: Solve for x
    x = 7,885,440,000/40,944
  6. Step 6: Final answer
    x = 192,590.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.