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Finding the Third Proportional to 57,809 and 86,714

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Solution

The third proportional to 57,809 and 86,714 is: 130,071.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,809 : 86,714 = 86,714 : x
  2. Step 2: Convert to fraction form
    57,809/86,714 = 86,714/x
  3. Step 3: Cross multiply
    57,809x = 86,714 × 86,714
  4. Step 4: Simplify right side
    57,809x = 7,519,317,796
  5. Step 5: Solve for x
    x = 7,519,317,796/57,809
  6. Step 6: Final answer
    x = 130,071.75

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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.