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Finding the Third Proportional to 85,453 and 132,657

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Solution

The third proportional to 85,453 and 132,657 is: 205,936.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,453 : 132,657 = 132,657 : x
  2. Step 2: Convert to fraction form
    85,453/132,657 = 132,657/x
  3. Step 3: Cross multiply
    85,453x = 132,657 × 132,657
  4. Step 4: Simplify right side
    85,453x = 17,597,879,649
  5. Step 5: Solve for x
    x = 17,597,879,649/85,453
  6. Step 6: Final answer
    x = 205,936.36

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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.