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Finding the Third Proportional to 63,898 and 133,034

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Solution

The third proportional to 63,898 and 133,034 is: 276,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,898 : 133,034 = 133,034 : x
  2. Step 2: Convert to fraction form
    63,898/133,034 = 133,034/x
  3. Step 3: Cross multiply
    63,898x = 133,034 × 133,034
  4. Step 4: Simplify right side
    63,898x = 17,698,045,156
  5. Step 5: Solve for x
    x = 17,698,045,156/63,898
  6. Step 6: Final answer
    x = 276,973.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.