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Finding the Third Proportional to 63,104.50 and 137,630

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Solution

The third proportional to 63,104.50 and 137,630 is: 300,169.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,104.50 : 137,630 = 137,630 : x
  2. Step 2: Convert to fraction form
    63,104.50/137,630 = 137,630/x
  3. Step 3: Cross multiply
    63,104.50x = 137,630 × 137,630
  4. Step 4: Simplify right side
    63,104.50x = 18,942,016,900
  5. Step 5: Solve for x
    x = 18,942,016,900/63,104.50
  6. Step 6: Final answer
    x = 300,169.04

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.