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Finding the Third Proportional to 85,964 and 132,836

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Solution

The third proportional to 85,964 and 132,836 is: 205,265.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,964 : 132,836 = 132,836 : x
  2. Step 2: Convert to fraction form
    85,964/132,836 = 132,836/x
  3. Step 3: Cross multiply
    85,964x = 132,836 × 132,836
  4. Step 4: Simplify right side
    85,964x = 17,645,402,896
  5. Step 5: Solve for x
    x = 17,645,402,896/85,964
  6. Step 6: Final answer
    x = 205,265.03

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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.