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Finding the Third Proportional to 75,763.59 and 159,514.69

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Solution

The third proportional to 75,763.59 and 159,514.69 is: 335,846.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,763.59 : 159,514.69 = 159,514.69 : x
  2. Step 2: Convert to fraction form
    75,763.59/159,514.69 = 159,514.69/x
  3. Step 3: Cross multiply
    75,763.59x = 159,514.69 × 159,514.69
  4. Step 4: Simplify right side
    75,763.59x = 25,444,935,528.22
  5. Step 5: Solve for x
    x = 25,444,935,528.22/75,763.59
  6. Step 6: Final answer
    x = 335,846.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.