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Finding the Third Proportional to 112,974 and 165,685

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Solution

The third proportional to 112,974 and 165,685 is: 242,989.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,974 : 165,685 = 165,685 : x
  2. Step 2: Convert to fraction form
    112,974/165,685 = 165,685/x
  3. Step 3: Cross multiply
    112,974x = 165,685 × 165,685
  4. Step 4: Simplify right side
    112,974x = 27,451,519,225
  5. Step 5: Solve for x
    x = 27,451,519,225/112,974
  6. Step 6: Final answer
    x = 242,989.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.