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Finding the Third Proportional to 85,854 and 132,823

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Solution

The third proportional to 85,854 and 132,823 is: 205,487.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,854 : 132,823 = 132,823 : x
  2. Step 2: Convert to fraction form
    85,854/132,823 = 132,823/x
  3. Step 3: Cross multiply
    85,854x = 132,823 × 132,823
  4. Step 4: Simplify right side
    85,854x = 17,641,949,329
  5. Step 5: Solve for x
    x = 17,641,949,329/85,854
  6. Step 6: Final answer
    x = 205,487.80

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Why These Related Problems?

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