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Finding the Third Proportional to 63,880 and 149,203

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Solution

The third proportional to 63,880 and 149,203 is: 348,489.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,880 : 149,203 = 149,203 : x
  2. Step 2: Convert to fraction form
    63,880/149,203 = 149,203/x
  3. Step 3: Cross multiply
    63,880x = 149,203 × 149,203
  4. Step 4: Simplify right side
    63,880x = 22,261,535,209
  5. Step 5: Solve for x
    x = 22,261,535,209/63,880
  6. Step 6: Final answer
    x = 348,489.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.