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Finding the Third Proportional to 139,482 and 179,091

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Solution

The third proportional to 139,482 and 179,091 is: 229,947.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,482 : 179,091 = 179,091 : x
  2. Step 2: Convert to fraction form
    139,482/179,091 = 179,091/x
  3. Step 3: Cross multiply
    139,482x = 179,091 × 179,091
  4. Step 4: Simplify right side
    139,482x = 32,073,586,281
  5. Step 5: Solve for x
    x = 32,073,586,281/139,482
  6. Step 6: Final answer
    x = 229,947.85

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.