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Finding the Third Proportional to 63,006 and 137,085

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Solution

The third proportional to 63,006 and 137,085 is: 298,262.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,006 : 137,085 = 137,085 : x
  2. Step 2: Convert to fraction form
    63,006/137,085 = 137,085/x
  3. Step 3: Cross multiply
    63,006x = 137,085 × 137,085
  4. Step 4: Simplify right side
    63,006x = 18,792,297,225
  5. Step 5: Solve for x
    x = 18,792,297,225/63,006
  6. Step 6: Final answer
    x = 298,262.03

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Why These Related Problems?

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