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Finding the Third Proportional to 40,968 and 89,133

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Solution

The third proportional to 40,968 and 89,133 is: 193,924.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,968 : 89,133 = 89,133 : x
  2. Step 2: Convert to fraction form
    40,968/89,133 = 89,133/x
  3. Step 3: Cross multiply
    40,968x = 89,133 × 89,133
  4. Step 4: Simplify right side
    40,968x = 7,944,691,689
  5. Step 5: Solve for x
    x = 7,944,691,689/40,968
  6. Step 6: Final answer
    x = 193,924.32

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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.