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Finding the Third Proportional to 76,414 and 168,052

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Solution

The third proportional to 76,414 and 168,052 is: 369,585.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,414 : 168,052 = 168,052 : x
  2. Step 2: Convert to fraction form
    76,414/168,052 = 168,052/x
  3. Step 3: Cross multiply
    76,414x = 168,052 × 168,052
  4. Step 4: Simplify right side
    76,414x = 28,241,474,704
  5. Step 5: Solve for x
    x = 28,241,474,704/76,414
  6. Step 6: Final answer
    x = 369,585.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.