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Finding the Third Proportional to 112,022 and 173,451

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Solution

The third proportional to 112,022 and 173,451 is: 268,565.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,022 : 173,451 = 173,451 : x
  2. Step 2: Convert to fraction form
    112,022/173,451 = 173,451/x
  3. Step 3: Cross multiply
    112,022x = 173,451 × 173,451
  4. Step 4: Simplify right side
    112,022x = 30,085,249,401
  5. Step 5: Solve for x
    x = 30,085,249,401/112,022
  6. Step 6: Final answer
    x = 268,565.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.