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Finding the Third Proportional to 106,866.50 and 166,133.50

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Solution

The third proportional to 106,866.50 and 166,133.50 is: 258,269.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,866.50 : 166,133.50 = 166,133.50 : x
  2. Step 2: Convert to fraction form
    106,866.50/166,133.50 = 166,133.50/x
  3. Step 3: Cross multiply
    106,866.50x = 166,133.50 × 166,133.50
  4. Step 4: Simplify right side
    106,866.50x = 27,600,339,822.25
  5. Step 5: Solve for x
    x = 27,600,339,822.25/106,866.50
  6. Step 6: Final answer
    x = 258,269.33

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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.