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Finding the Third Proportional to 63,642.98 and 132,514.26

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Solution

The third proportional to 63,642.98 and 132,514.26 is: 275,914.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,642.98 : 132,514.26 = 132,514.26 : x
  2. Step 2: Convert to fraction form
    63,642.98/132,514.26 = 132,514.26/x
  3. Step 3: Cross multiply
    63,642.98x = 132,514.26 × 132,514.26
  4. Step 4: Simplify right side
    63,642.98x = 17,560,029,041.23
  5. Step 5: Solve for x
    x = 17,560,029,041.23/63,642.98
  6. Step 6: Final answer
    x = 275,914.62

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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.