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Finding the Third Proportional to 106,296.25 and 164,579

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Solution

The third proportional to 106,296.25 and 164,579 is: 254,818.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,296.25 : 164,579 = 164,579 : x
  2. Step 2: Convert to fraction form
    106,296.25/164,579 = 164,579/x
  3. Step 3: Cross multiply
    106,296.25x = 164,579 × 164,579
  4. Step 4: Simplify right side
    106,296.25x = 27,086,247,241
  5. Step 5: Solve for x
    x = 27,086,247,241/106,296.25
  6. Step 6: Final answer
    x = 254,818.46

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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.