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Finding the Third Proportional to 63,909 and 118,503

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Solution

The third proportional to 63,909 and 118,503 is: 219,733.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,909 : 118,503 = 118,503 : x
  2. Step 2: Convert to fraction form
    63,909/118,503 = 118,503/x
  3. Step 3: Cross multiply
    63,909x = 118,503 × 118,503
  4. Step 4: Simplify right side
    63,909x = 14,042,961,009
  5. Step 5: Solve for x
    x = 14,042,961,009/63,909
  6. Step 6: Final answer
    x = 219,733.70

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.