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Finding the Third Proportional to 73,662 and 112,636

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Solution

The third proportional to 73,662 and 112,636 is: 172,230.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,662 : 112,636 = 112,636 : x
  2. Step 2: Convert to fraction form
    73,662/112,636 = 112,636/x
  3. Step 3: Cross multiply
    73,662x = 112,636 × 112,636
  4. Step 4: Simplify right side
    73,662x = 12,686,868,496
  5. Step 5: Solve for x
    x = 12,686,868,496/73,662
  6. Step 6: Final answer
    x = 172,230.84

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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.