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Finding the Third Proportional to 102,930.75 and 164,374.31

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Solution

The third proportional to 102,930.75 and 164,374.31 is: 262,496.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,930.75 : 164,374.31 = 164,374.31 : x
  2. Step 2: Convert to fraction form
    102,930.75/164,374.31 = 164,374.31/x
  3. Step 3: Cross multiply
    102,930.75x = 164,374.31 × 164,374.31
  4. Step 4: Simplify right side
    102,930.75x = 27,018,914,609.85
  5. Step 5: Solve for x
    x = 27,018,914,609.85/102,930.75
  6. Step 6: Final answer
    x = 262,496.04

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.