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Finding the Third Proportional to 106,418.81 and 160,410.38

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Solution

The third proportional to 106,418.81 and 160,410.38 is: 241,794.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,418.81 : 160,410.38 = 160,410.38 : x
  2. Step 2: Convert to fraction form
    106,418.81/160,410.38 = 160,410.38/x
  3. Step 3: Cross multiply
    106,418.81x = 160,410.38 × 160,410.38
  4. Step 4: Simplify right side
    106,418.81x = 25,731,488,407.64
  5. Step 5: Solve for x
    x = 25,731,488,407.64/106,418.81
  6. Step 6: Final answer
    x = 241,794.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.