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Finding the Third Proportional to 106,816.13 and 166,057.50

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Solution

The third proportional to 106,816.13 and 166,057.50 is: 258,154.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,816.13 : 166,057.50 = 166,057.50 : x
  2. Step 2: Convert to fraction form
    106,816.13/166,057.50 = 166,057.50/x
  3. Step 3: Cross multiply
    106,816.13x = 166,057.50 × 166,057.50
  4. Step 4: Simplify right side
    106,816.13x = 27,575,093,306.25
  5. Step 5: Solve for x
    x = 27,575,093,306.25/106,816.13
  6. Step 6: Final answer
    x = 258,154.78

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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.