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Finding the Third Proportional to 63,909 and 136,014

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Solution

The third proportional to 63,909 and 136,014 is: 289,471.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,909 : 136,014 = 136,014 : x
  2. Step 2: Convert to fraction form
    63,909/136,014 = 136,014/x
  3. Step 3: Cross multiply
    63,909x = 136,014 × 136,014
  4. Step 4: Simplify right side
    63,909x = 18,499,808,196
  5. Step 5: Solve for x
    x = 18,499,808,196/63,909
  6. Step 6: Final answer
    x = 289,471.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.