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Finding the Third Proportional to 75,750 and 159,333

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Solution

The third proportional to 75,750 and 159,333 is: 335,141.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,750 : 159,333 = 159,333 : x
  2. Step 2: Convert to fraction form
    75,750/159,333 = 159,333/x
  3. Step 3: Cross multiply
    75,750x = 159,333 × 159,333
  4. Step 4: Simplify right side
    75,750x = 25,387,004,889
  5. Step 5: Solve for x
    x = 25,387,004,889/75,750
  6. Step 6: Final answer
    x = 335,141.98

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.