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Finding the Third Proportional to 75,784 and 159,424

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Solution

The third proportional to 75,784 and 159,424 is: 335,374.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,784 : 159,424 = 159,424 : x
  2. Step 2: Convert to fraction form
    75,784/159,424 = 159,424/x
  3. Step 3: Cross multiply
    75,784x = 159,424 × 159,424
  4. Step 4: Simplify right side
    75,784x = 25,416,011,776
  5. Step 5: Solve for x
    x = 25,416,011,776/75,784
  6. Step 6: Final answer
    x = 335,374.38

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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.