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Finding the Third Proportional to 43,621 and 95,549

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Solution

The third proportional to 43,621 and 95,549 is: 209,293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,621 : 95,549 = 95,549 : x
  2. Step 2: Convert to fraction form
    43,621/95,549 = 95,549/x
  3. Step 3: Cross multiply
    43,621x = 95,549 × 95,549
  4. Step 4: Simplify right side
    43,621x = 9,129,611,401
  5. Step 5: Solve for x
    x = 9,129,611,401/43,621
  6. Step 6: Final answer
    x = 209,293.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.