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Finding the Third Proportional to 41,202 and 97,605

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Solution

The third proportional to 41,202 and 97,605 is: 231,220.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,202 : 97,605 = 97,605 : x
  2. Step 2: Convert to fraction form
    41,202/97,605 = 97,605/x
  3. Step 3: Cross multiply
    41,202x = 97,605 × 97,605
  4. Step 4: Simplify right side
    41,202x = 9,526,736,025
  5. Step 5: Solve for x
    x = 9,526,736,025/41,202
  6. Step 6: Final answer
    x = 231,220.23

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.