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Finding the Third Proportional to 109,661 and 235,954

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Solution

The third proportional to 109,661 and 235,954 is: 507,694.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,661 : 235,954 = 235,954 : x
  2. Step 2: Convert to fraction form
    109,661/235,954 = 235,954/x
  3. Step 3: Cross multiply
    109,661x = 235,954 × 235,954
  4. Step 4: Simplify right side
    109,661x = 55,674,290,116
  5. Step 5: Solve for x
    x = 55,674,290,116/109,661
  6. Step 6: Final answer
    x = 507,694.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.