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Finding the Third Proportional to 106,848.75 and 166,101.38

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Solution

The third proportional to 106,848.75 and 166,101.38 is: 258,212.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,848.75 : 166,101.38 = 166,101.38 : x
  2. Step 2: Convert to fraction form
    106,848.75/166,101.38 = 166,101.38/x
  3. Step 3: Cross multiply
    106,848.75x = 166,101.38 × 166,101.38
  4. Step 4: Simplify right side
    106,848.75x = 27,589,666,776.89
  5. Step 5: Solve for x
    x = 27,589,666,776.89/106,848.75
  6. Step 6: Final answer
    x = 258,212.35

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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.