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Finding the Third Proportional to 76,818 and 119,223

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Solution

The third proportional to 76,818 and 119,223 is: 185,036.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,818 : 119,223 = 119,223 : x
  2. Step 2: Convert to fraction form
    76,818/119,223 = 119,223/x
  3. Step 3: Cross multiply
    76,818x = 119,223 × 119,223
  4. Step 4: Simplify right side
    76,818x = 14,214,123,729
  5. Step 5: Solve for x
    x = 14,214,123,729/76,818
  6. Step 6: Final answer
    x = 185,036.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.