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Finding the Third Proportional to 63,059 and 129,034

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Solution

The third proportional to 63,059 and 129,034 is: 264,034.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,059 : 129,034 = 129,034 : x
  2. Step 2: Convert to fraction form
    63,059/129,034 = 129,034/x
  3. Step 3: Cross multiply
    63,059x = 129,034 × 129,034
  4. Step 4: Simplify right side
    63,059x = 16,649,773,156
  5. Step 5: Solve for x
    x = 16,649,773,156/63,059
  6. Step 6: Final answer
    x = 264,034.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.