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Finding the Third Proportional to 106,294.78 and 164,576.81

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Solution

The third proportional to 106,294.78 and 164,576.81 is: 254,815.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,294.78 : 164,576.81 = 164,576.81 : x
  2. Step 2: Convert to fraction form
    106,294.78/164,576.81 = 164,576.81/x
  3. Step 3: Cross multiply
    106,294.78x = 164,576.81 × 164,576.81
  4. Step 4: Simplify right side
    106,294.78x = 27,085,527,212.66
  5. Step 5: Solve for x
    x = 27,085,527,212.66/106,294.78
  6. Step 6: Final answer
    x = 254,815.21

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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.