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Finding the Third Proportional to 63,909 and 113,845.50

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Solution

The third proportional to 63,909 and 113,845.50 is: 202,800.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,909 : 113,845.50 = 113,845.50 : x
  2. Step 2: Convert to fraction form
    63,909/113,845.50 = 113,845.50/x
  3. Step 3: Cross multiply
    63,909x = 113,845.50 × 113,845.50
  4. Step 4: Simplify right side
    63,909x = 12,960,797,870.25
  5. Step 5: Solve for x
    x = 12,960,797,870.25/63,909
  6. Step 6: Final answer
    x = 202,800.82

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.