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Finding the Third Proportional to 73,476 and 109,134

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Solution

The third proportional to 73,476 and 109,134 is: 162,096.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,476 : 109,134 = 109,134 : x
  2. Step 2: Convert to fraction form
    73,476/109,134 = 109,134/x
  3. Step 3: Cross multiply
    73,476x = 109,134 × 109,134
  4. Step 4: Simplify right side
    73,476x = 11,910,229,956
  5. Step 5: Solve for x
    x = 11,910,229,956/73,476
  6. Step 6: Final answer
    x = 162,096.87

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