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Finding the Third Proportional to 41,579 and 91,461

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Solution

The third proportional to 41,579 and 91,461 is: 201,186.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,579 : 91,461 = 91,461 : x
  2. Step 2: Convert to fraction form
    41,579/91,461 = 91,461/x
  3. Step 3: Cross multiply
    41,579x = 91,461 × 91,461
  4. Step 4: Simplify right side
    41,579x = 8,365,114,521
  5. Step 5: Solve for x
    x = 8,365,114,521/41,579
  6. Step 6: Final answer
    x = 201,186.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.