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Finding the Third Proportional to 106,265.25 and 165,854.25

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Solution

The third proportional to 106,265.25 and 165,854.25 is: 258,858.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,265.25 : 165,854.25 = 165,854.25 : x
  2. Step 2: Convert to fraction form
    106,265.25/165,854.25 = 165,854.25/x
  3. Step 3: Cross multiply
    106,265.25x = 165,854.25 × 165,854.25
  4. Step 4: Simplify right side
    106,265.25x = 27,507,632,243.06
  5. Step 5: Solve for x
    x = 27,507,632,243.06/106,265.25
  6. Step 6: Final answer
    x = 258,858.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.