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Finding the Third Proportional to 63,231.75 and 84,578.63

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Solution

The third proportional to 63,231.75 and 84,578.63 is: 113,132.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,231.75 : 84,578.63 = 84,578.63 : x
  2. Step 2: Convert to fraction form
    63,231.75/84,578.63 = 84,578.63/x
  3. Step 3: Cross multiply
    63,231.75x = 84,578.63 × 84,578.63
  4. Step 4: Simplify right side
    63,231.75x = 7,153,543,806.89
  5. Step 5: Solve for x
    x = 7,153,543,806.89/63,231.75
  6. Step 6: Final answer
    x = 113,132.15

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.