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Finding the Third Proportional to 75,699 and 159,238

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Solution

The third proportional to 75,699 and 159,238 is: 334,967.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,699 : 159,238 = 159,238 : x
  2. Step 2: Convert to fraction form
    75,699/159,238 = 159,238/x
  3. Step 3: Cross multiply
    75,699x = 159,238 × 159,238
  4. Step 4: Simplify right side
    75,699x = 25,356,740,644
  5. Step 5: Solve for x
    x = 25,356,740,644/75,699
  6. Step 6: Final answer
    x = 334,967.97

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Why These Related Problems?

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