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Finding the Third Proportional to 83,029.75 and 132,180.75

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Solution

The third proportional to 83,029.75 and 132,180.75 is: 210,427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,029.75 : 132,180.75 = 132,180.75 : x
  2. Step 2: Convert to fraction form
    83,029.75/132,180.75 = 132,180.75/x
  3. Step 3: Cross multiply
    83,029.75x = 132,180.75 × 132,180.75
  4. Step 4: Simplify right side
    83,029.75x = 17,471,750,670.56
  5. Step 5: Solve for x
    x = 17,471,750,670.56/83,029.75
  6. Step 6: Final answer
    x = 210,427.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.