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Finding the Third Proportional to 63,606 and 137,685

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Solution

The third proportional to 63,606 and 137,685 is: 298,040.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,606 : 137,685 = 137,685 : x
  2. Step 2: Convert to fraction form
    63,606/137,685 = 137,685/x
  3. Step 3: Cross multiply
    63,606x = 137,685 × 137,685
  4. Step 4: Simplify right side
    63,606x = 18,957,159,225
  5. Step 5: Solve for x
    x = 18,957,159,225/63,606
  6. Step 6: Final answer
    x = 298,040.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.