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Finding the Third Proportional to 81,514.69 and 173,862.75

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Solution

The third proportional to 81,514.69 and 173,862.75 is: 370,832.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,514.69 : 173,862.75 = 173,862.75 : x
  2. Step 2: Convert to fraction form
    81,514.69/173,862.75 = 173,862.75/x
  3. Step 3: Cross multiply
    81,514.69x = 173,862.75 × 173,862.75
  4. Step 4: Simplify right side
    81,514.69x = 30,228,255,837.56
  5. Step 5: Solve for x
    x = 30,228,255,837.56/81,514.69
  6. Step 6: Final answer
    x = 370,832.02

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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.