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Finding the Third Proportional to 112,692 and 168,684

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Solution

The third proportional to 112,692 and 168,684 is: 252,496.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,692 : 168,684 = 168,684 : x
  2. Step 2: Convert to fraction form
    112,692/168,684 = 168,684/x
  3. Step 3: Cross multiply
    112,692x = 168,684 × 168,684
  4. Step 4: Simplify right side
    112,692x = 28,454,291,856
  5. Step 5: Solve for x
    x = 28,454,291,856/112,692
  6. Step 6: Final answer
    x = 252,496.11

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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.