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Finding the Third Proportional to 73,049 and 109,573

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Solution

The third proportional to 73,049 and 109,573 is: 164,358.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,049 : 109,573 = 109,573 : x
  2. Step 2: Convert to fraction form
    73,049/109,573 = 109,573/x
  3. Step 3: Cross multiply
    73,049x = 109,573 × 109,573
  4. Step 4: Simplify right side
    73,049x = 12,006,242,329
  5. Step 5: Solve for x
    x = 12,006,242,329/73,049
  6. Step 6: Final answer
    x = 164,358.75

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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.