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Finding the Third Proportional to 63,503 and 135,753

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Solution

The third proportional to 63,503 and 135,753 is: 290,204.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,503 : 135,753 = 135,753 : x
  2. Step 2: Convert to fraction form
    63,503/135,753 = 135,753/x
  3. Step 3: Cross multiply
    63,503x = 135,753 × 135,753
  4. Step 4: Simplify right side
    63,503x = 18,428,877,009
  5. Step 5: Solve for x
    x = 18,428,877,009/63,503
  6. Step 6: Final answer
    x = 290,204.83

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.