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Finding the Third Proportional to 73,162 and 109,430

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Solution

The third proportional to 73,162 and 109,430 is: 163,676.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,162 : 109,430 = 109,430 : x
  2. Step 2: Convert to fraction form
    73,162/109,430 = 109,430/x
  3. Step 3: Cross multiply
    73,162x = 109,430 × 109,430
  4. Step 4: Simplify right side
    73,162x = 11,974,924,900
  5. Step 5: Solve for x
    x = 11,974,924,900/73,162
  6. Step 6: Final answer
    x = 163,676.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.