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Finding the Third Proportional to 63,609 and 136,951.50

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Solution

The third proportional to 63,609 and 136,951.50 is: 294,859.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,609 : 136,951.50 = 136,951.50 : x
  2. Step 2: Convert to fraction form
    63,609/136,951.50 = 136,951.50/x
  3. Step 3: Cross multiply
    63,609x = 136,951.50 × 136,951.50
  4. Step 4: Simplify right side
    63,609x = 18,755,713,352.25
  5. Step 5: Solve for x
    x = 18,755,713,352.25/63,609
  6. Step 6: Final answer
    x = 294,859.43

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