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Finding the Third Proportional to 63,902.25 and 133,035.75

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Solution

The third proportional to 63,902.25 and 133,035.75 is: 276,962.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,902.25 : 133,035.75 = 133,035.75 : x
  2. Step 2: Convert to fraction form
    63,902.25/133,035.75 = 133,035.75/x
  3. Step 3: Cross multiply
    63,902.25x = 133,035.75 × 133,035.75
  4. Step 4: Simplify right side
    63,902.25x = 17,698,510,778.06
  5. Step 5: Solve for x
    x = 17,698,510,778.06/63,902.25
  6. Step 6: Final answer
    x = 276,962.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.