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Finding the Third Proportional to 40,990 and 96,724

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Solution

The third proportional to 40,990 and 96,724 is: 228,239.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,990 : 96,724 = 96,724 : x
  2. Step 2: Convert to fraction form
    40,990/96,724 = 96,724/x
  3. Step 3: Cross multiply
    40,990x = 96,724 × 96,724
  4. Step 4: Simplify right side
    40,990x = 9,355,532,176
  5. Step 5: Solve for x
    x = 9,355,532,176/40,990
  6. Step 6: Final answer
    x = 228,239.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.