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Finding the Third Proportional to 63,409 and 149,954

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Solution

The third proportional to 63,409 and 149,954 is: 354,621.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,409 : 149,954 = 149,954 : x
  2. Step 2: Convert to fraction form
    63,409/149,954 = 149,954/x
  3. Step 3: Cross multiply
    63,409x = 149,954 × 149,954
  4. Step 4: Simplify right side
    63,409x = 22,486,202,116
  5. Step 5: Solve for x
    x = 22,486,202,116/63,409
  6. Step 6: Final answer
    x = 354,621.62

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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.