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Finding the Third Proportional to 63,945 and 100,310.63

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Solution

The third proportional to 63,945 and 100,310.63 is: 157,357.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,945 : 100,310.63 = 100,310.63 : x
  2. Step 2: Convert to fraction form
    63,945/100,310.63 = 100,310.63/x
  3. Step 3: Cross multiply
    63,945x = 100,310.63 × 100,310.63
  4. Step 4: Simplify right side
    63,945x = 10,062,221,487.89
  5. Step 5: Solve for x
    x = 10,062,221,487.89/63,945
  6. Step 6: Final answer
    x = 157,357.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.