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Finding the Third Proportional to 106,821.50 and 166,064.50

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Solution

The third proportional to 106,821.50 and 166,064.50 is: 258,163.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,821.50 : 166,064.50 = 166,064.50 : x
  2. Step 2: Convert to fraction form
    106,821.50/166,064.50 = 166,064.50/x
  3. Step 3: Cross multiply
    106,821.50x = 166,064.50 × 166,064.50
  4. Step 4: Simplify right side
    106,821.50x = 27,577,418,160.25
  5. Step 5: Solve for x
    x = 27,577,418,160.25/106,821.50
  6. Step 6: Final answer
    x = 258,163.55

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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.