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Finding the Third Proportional to 40,968 and 98,964

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Solution

The third proportional to 40,968 and 98,964 is: 239,061.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,968 : 98,964 = 98,964 : x
  2. Step 2: Convert to fraction form
    40,968/98,964 = 98,964/x
  3. Step 3: Cross multiply
    40,968x = 98,964 × 98,964
  4. Step 4: Simplify right side
    40,968x = 9,793,873,296
  5. Step 5: Solve for x
    x = 9,793,873,296/40,968
  6. Step 6: Final answer
    x = 239,061.54

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.