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Finding the Third Proportional to 112,120 and 234,624

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Solution

The third proportional to 112,120 and 234,624 is: 490,977.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,120 : 234,624 = 234,624 : x
  2. Step 2: Convert to fraction form
    112,120/234,624 = 234,624/x
  3. Step 3: Cross multiply
    112,120x = 234,624 × 234,624
  4. Step 4: Simplify right side
    112,120x = 55,048,421,376
  5. Step 5: Solve for x
    x = 55,048,421,376/112,120
  6. Step 6: Final answer
    x = 490,977.71

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.