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Finding the Third Proportional to 75,892.50 and 164,907

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Solution

The third proportional to 75,892.50 and 164,907 is: 358,326.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,892.50 : 164,907 = 164,907 : x
  2. Step 2: Convert to fraction form
    75,892.50/164,907 = 164,907/x
  3. Step 3: Cross multiply
    75,892.50x = 164,907 × 164,907
  4. Step 4: Simplify right side
    75,892.50x = 27,194,318,649
  5. Step 5: Solve for x
    x = 27,194,318,649/75,892.50
  6. Step 6: Final answer
    x = 358,326.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.