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Finding the Third Proportional to 41,420 and 97,880

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Solution

The third proportional to 41,420 and 97,880 is: 231,301.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,420 : 97,880 = 97,880 : x
  2. Step 2: Convert to fraction form
    41,420/97,880 = 97,880/x
  3. Step 3: Cross multiply
    41,420x = 97,880 × 97,880
  4. Step 4: Simplify right side
    41,420x = 9,580,494,400
  5. Step 5: Solve for x
    x = 9,580,494,400/41,420
  6. Step 6: Final answer
    x = 231,301.17

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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.