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Finding the Third Proportional to 63,904.50 and 137,685

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Solution

The third proportional to 63,904.50 and 137,685 is: 296,648.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,904.50 : 137,685 = 137,685 : x
  2. Step 2: Convert to fraction form
    63,904.50/137,685 = 137,685/x
  3. Step 3: Cross multiply
    63,904.50x = 137,685 × 137,685
  4. Step 4: Simplify right side
    63,904.50x = 18,957,159,225
  5. Step 5: Solve for x
    x = 18,957,159,225/63,904.50
  6. Step 6: Final answer
    x = 296,648.27

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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.