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Finding the Third Proportional to 85,452.47 and 132,647.63

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Solution

The third proportional to 85,452.47 and 132,647.63 is: 205,908.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,452.47 : 132,647.63 = 132,647.63 : x
  2. Step 2: Convert to fraction form
    85,452.47/132,647.63 = 132,647.63/x
  3. Step 3: Cross multiply
    85,452.47x = 132,647.63 × 132,647.63
  4. Step 4: Simplify right side
    85,452.47x = 17,595,392,418.14
  5. Step 5: Solve for x
    x = 17,595,392,418.14/85,452.47
  6. Step 6: Final answer
    x = 205,908.53

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.