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Finding the Third Proportional to 112,330 and 168,951

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Solution

The third proportional to 112,330 and 168,951 is: 254,112.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,330 : 168,951 = 168,951 : x
  2. Step 2: Convert to fraction form
    112,330/168,951 = 168,951/x
  3. Step 3: Cross multiply
    112,330x = 168,951 × 168,951
  4. Step 4: Simplify right side
    112,330x = 28,544,440,401
  5. Step 5: Solve for x
    x = 28,544,440,401/112,330
  6. Step 6: Final answer
    x = 254,112.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.