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Finding the Third Proportional to 41,732 and 97,741

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Solution

The third proportional to 41,732 and 97,741 is: 228,920.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,732 : 97,741 = 97,741 : x
  2. Step 2: Convert to fraction form
    41,732/97,741 = 97,741/x
  3. Step 3: Cross multiply
    41,732x = 97,741 × 97,741
  4. Step 4: Simplify right side
    41,732x = 9,553,303,081
  5. Step 5: Solve for x
    x = 9,553,303,081/41,732
  6. Step 6: Final answer
    x = 228,920.33

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.