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Finding the Third Proportional to 63,305.75 and 135,086.25

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Solution

The third proportional to 63,305.75 and 135,086.25 is: 288,256.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,305.75 : 135,086.25 = 135,086.25 : x
  2. Step 2: Convert to fraction form
    63,305.75/135,086.25 = 135,086.25/x
  3. Step 3: Cross multiply
    63,305.75x = 135,086.25 × 135,086.25
  4. Step 4: Simplify right side
    63,305.75x = 18,248,294,939.06
  5. Step 5: Solve for x
    x = 18,248,294,939.06/63,305.75
  6. Step 6: Final answer
    x = 288,256.52

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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.