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Finding the Third Proportional to 112,066 and 173,511

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Solution

The third proportional to 112,066 and 173,511 is: 268,645.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,066 : 173,511 = 173,511 : x
  2. Step 2: Convert to fraction form
    112,066/173,511 = 173,511/x
  3. Step 3: Cross multiply
    112,066x = 173,511 × 173,511
  4. Step 4: Simplify right side
    112,066x = 30,106,067,121
  5. Step 5: Solve for x
    x = 30,106,067,121/112,066
  6. Step 6: Final answer
    x = 268,645.86

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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.