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Finding the Third Proportional to 119,164 and 177,126

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Solution

The third proportional to 119,164 and 177,126 is: 263,281.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,164 : 177,126 = 177,126 : x
  2. Step 2: Convert to fraction form
    119,164/177,126 = 177,126/x
  3. Step 3: Cross multiply
    119,164x = 177,126 × 177,126
  4. Step 4: Simplify right side
    119,164x = 31,373,619,876
  5. Step 5: Solve for x
    x = 31,373,619,876/119,164
  6. Step 6: Final answer
    x = 263,281.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.