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Finding the Third Proportional to 131,974 and 179,303

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Solution

The third proportional to 131,974 and 179,303 is: 243,605.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,974 : 179,303 = 179,303 : x
  2. Step 2: Convert to fraction form
    131,974/179,303 = 179,303/x
  3. Step 3: Cross multiply
    131,974x = 179,303 × 179,303
  4. Step 4: Simplify right side
    131,974x = 32,149,565,809
  5. Step 5: Solve for x
    x = 32,149,565,809/131,974
  6. Step 6: Final answer
    x = 243,605.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.