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Finding the Third Proportional to 75,784 and 120,606

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Solution

The third proportional to 75,784 and 120,606 is: 191,937.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,784 : 120,606 = 120,606 : x
  2. Step 2: Convert to fraction form
    75,784/120,606 = 120,606/x
  3. Step 3: Cross multiply
    75,784x = 120,606 × 120,606
  4. Step 4: Simplify right side
    75,784x = 14,545,807,236
  5. Step 5: Solve for x
    x = 14,545,807,236/75,784
  6. Step 6: Final answer
    x = 191,937.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.