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Finding the Third Proportional to 106,459.31 and 164,814.75

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Solution

The third proportional to 106,459.31 and 164,814.75 is: 255,157.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,459.31 : 164,814.75 = 164,814.75 : x
  2. Step 2: Convert to fraction form
    106,459.31/164,814.75 = 164,814.75/x
  3. Step 3: Cross multiply
    106,459.31x = 164,814.75 × 164,814.75
  4. Step 4: Simplify right side
    106,459.31x = 27,163,901,817.56
  5. Step 5: Solve for x
    x = 27,163,901,817.56/106,459.31
  6. Step 6: Final answer
    x = 255,157.59

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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.