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Finding the Third Proportional to 56,080.31 and 86,199

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Solution

The third proportional to 56,080.31 and 86,199 is: 132,493.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,080.31 : 86,199 = 86,199 : x
  2. Step 2: Convert to fraction form
    56,080.31/86,199 = 86,199/x
  3. Step 3: Cross multiply
    56,080.31x = 86,199 × 86,199
  4. Step 4: Simplify right side
    56,080.31x = 7,430,267,601
  5. Step 5: Solve for x
    x = 7,430,267,601/56,080.31
  6. Step 6: Final answer
    x = 132,493.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.