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Finding the Third Proportional to 85,467 and 132,681

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Solution

The third proportional to 85,467 and 132,681 is: 205,977.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,467 : 132,681 = 132,681 : x
  2. Step 2: Convert to fraction form
    85,467/132,681 = 132,681/x
  3. Step 3: Cross multiply
    85,467x = 132,681 × 132,681
  4. Step 4: Simplify right side
    85,467x = 17,604,247,761
  5. Step 5: Solve for x
    x = 17,604,247,761/85,467
  6. Step 6: Final answer
    x = 205,977.13

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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.