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Finding the Third Proportional to 119,729 and 179,594

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Solution

The third proportional to 119,729 and 179,594 is: 269,391.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,729 : 179,594 = 179,594 : x
  2. Step 2: Convert to fraction form
    119,729/179,594 = 179,594/x
  3. Step 3: Cross multiply
    119,729x = 179,594 × 179,594
  4. Step 4: Simplify right side
    119,729x = 32,254,004,836
  5. Step 5: Solve for x
    x = 32,254,004,836/119,729
  6. Step 6: Final answer
    x = 269,391.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.