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Finding the Third Proportional to 57,714.75 and 86,952.38

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Solution

The third proportional to 57,714.75 and 86,952.38 is: 131,001.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,714.75 : 86,952.38 = 86,952.38 : x
  2. Step 2: Convert to fraction form
    57,714.75/86,952.38 = 86,952.38/x
  3. Step 3: Cross multiply
    57,714.75x = 86,952.38 × 86,952.38
  4. Step 4: Simplify right side
    57,714.75x = 7,560,715,518.14
  5. Step 5: Solve for x
    x = 7,560,715,518.14/57,714.75
  6. Step 6: Final answer
    x = 131,001.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.