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Finding the Third Proportional to 119,783 and 179,659

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Solution

The third proportional to 119,783 and 179,659 is: 269,465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,783 : 179,659 = 179,659 : x
  2. Step 2: Convert to fraction form
    119,783/179,659 = 179,659/x
  3. Step 3: Cross multiply
    119,783x = 179,659 × 179,659
  4. Step 4: Simplify right side
    119,783x = 32,277,356,281
  5. Step 5: Solve for x
    x = 32,277,356,281/119,783
  6. Step 6: Final answer
    x = 269,465.25

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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.