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Finding the Third Proportional to 57,714.75 and 86,739.19

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Solution

The third proportional to 57,714.75 and 86,739.19 is: 130,359.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,714.75 : 86,739.19 = 86,739.19 : x
  2. Step 2: Convert to fraction form
    57,714.75/86,739.19 = 86,739.19/x
  3. Step 3: Cross multiply
    57,714.75x = 86,739.19 × 86,739.19
  4. Step 4: Simplify right side
    57,714.75x = 7,523,686,648.16
  5. Step 5: Solve for x
    x = 7,523,686,648.16/57,714.75
  6. Step 6: Final answer
    x = 130,359.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.