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Finding the Third Proportional to 63,441.75 and 135,113.25

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Solution

The third proportional to 63,441.75 and 135,113.25 is: 287,753.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,441.75 : 135,113.25 = 135,113.25 : x
  2. Step 2: Convert to fraction form
    63,441.75/135,113.25 = 135,113.25/x
  3. Step 3: Cross multiply
    63,441.75x = 135,113.25 × 135,113.25
  4. Step 4: Simplify right side
    63,441.75x = 18,255,590,325.56
  5. Step 5: Solve for x
    x = 18,255,590,325.56/63,441.75
  6. Step 6: Final answer
    x = 287,753.57

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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.