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Finding the Third Proportional to 106,266.75 and 164,513.25

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Solution

The third proportional to 106,266.75 and 164,513.25 is: 254,685.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,266.75 : 164,513.25 = 164,513.25 : x
  2. Step 2: Convert to fraction form
    106,266.75/164,513.25 = 164,513.25/x
  3. Step 3: Cross multiply
    106,266.75x = 164,513.25 × 164,513.25
  4. Step 4: Simplify right side
    106,266.75x = 27,064,609,425.56
  5. Step 5: Solve for x
    x = 27,064,609,425.56/106,266.75
  6. Step 6: Final answer
    x = 254,685.59

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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.