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Finding the Third Proportional to 106,815.38 and 166,055.06

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Solution

The third proportional to 106,815.38 and 166,055.06 is: 258,149.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,815.38 : 166,055.06 = 166,055.06 : x
  2. Step 2: Convert to fraction form
    106,815.38/166,055.06 = 166,055.06/x
  3. Step 3: Cross multiply
    106,815.38x = 166,055.06 × 166,055.06
  4. Step 4: Simplify right side
    106,815.38x = 27,574,283,781.88
  5. Step 5: Solve for x
    x = 27,574,283,781.88/106,815.38
  6. Step 6: Final answer
    x = 258,149.01

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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.