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Finding the Third Proportional to 73,396 and 112,463

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Solution

The third proportional to 73,396 and 112,463 is: 172,324.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,396 : 112,463 = 112,463 : x
  2. Step 2: Convert to fraction form
    73,396/112,463 = 112,463/x
  3. Step 3: Cross multiply
    73,396x = 112,463 × 112,463
  4. Step 4: Simplify right side
    73,396x = 12,647,926,369
  5. Step 5: Solve for x
    x = 12,647,926,369/73,396
  6. Step 6: Final answer
    x = 172,324.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.