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Finding the Third Proportional to 66,596 and 99,651

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Solution

The third proportional to 66,596 and 99,651 is: 149,112.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,596 : 99,651 = 99,651 : x
  2. Step 2: Convert to fraction form
    66,596/99,651 = 99,651/x
  3. Step 3: Cross multiply
    66,596x = 99,651 × 99,651
  4. Step 4: Simplify right side
    66,596x = 9,930,321,801
  5. Step 5: Solve for x
    x = 9,930,321,801/66,596
  6. Step 6: Final answer
    x = 149,112.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.