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Finding the Third Proportional to 57,208.78 and 87,514.17

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Solution

The third proportional to 57,208.78 and 87,514.17 is: 133,873.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,208.78 : 87,514.17 = 87,514.17 : x
  2. Step 2: Convert to fraction form
    57,208.78/87,514.17 = 87,514.17/x
  3. Step 3: Cross multiply
    57,208.78x = 87,514.17 × 87,514.17
  4. Step 4: Simplify right side
    57,208.78x = 7,658,730,278.97
  5. Step 5: Solve for x
    x = 7,658,730,278.97/57,208.78
  6. Step 6: Final answer
    x = 133,873.33

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.