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Finding the Third Proportional to 85,456.69 and 132,652.69

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Solution

The third proportional to 85,456.69 and 132,652.69 is: 205,914.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,456.69 : 132,652.69 = 132,652.69 : x
  2. Step 2: Convert to fraction form
    85,456.69/132,652.69 = 132,652.69/x
  3. Step 3: Cross multiply
    85,456.69x = 132,652.69 × 132,652.69
  4. Step 4: Simplify right side
    85,456.69x = 17,596,735,500.97
  5. Step 5: Solve for x
    x = 17,596,735,500.97/85,456.69
  6. Step 6: Final answer
    x = 205,914.08

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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.