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Finding the Third Proportional to 86,182.31 and 132,907.50

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Solution

The third proportional to 86,182.31 and 132,907.50 is: 204,965.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,182.31 : 132,907.50 = 132,907.50 : x
  2. Step 2: Convert to fraction form
    86,182.31/132,907.50 = 132,907.50/x
  3. Step 3: Cross multiply
    86,182.31x = 132,907.50 × 132,907.50
  4. Step 4: Simplify right side
    86,182.31x = 17,664,403,556.25
  5. Step 5: Solve for x
    x = 17,664,403,556.25/86,182.31
  6. Step 6: Final answer
    x = 204,965.53

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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.