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Finding the Third Proportional to 86,577.75 and 132,987

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Solution

The third proportional to 86,577.75 and 132,987 is: 204,273.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,577.75 : 132,987 = 132,987 : x
  2. Step 2: Convert to fraction form
    86,577.75/132,987 = 132,987/x
  3. Step 3: Cross multiply
    86,577.75x = 132,987 × 132,987
  4. Step 4: Simplify right side
    86,577.75x = 17,685,542,169
  5. Step 5: Solve for x
    x = 17,685,542,169/86,577.75
  6. Step 6: Final answer
    x = 204,273.52

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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.