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Finding the Third Proportional to 64,192 and 134,216

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Solution

The third proportional to 64,192 and 134,216 is: 280,625.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,192 : 134,216 = 134,216 : x
  2. Step 2: Convert to fraction form
    64,192/134,216 = 134,216/x
  3. Step 3: Cross multiply
    64,192x = 134,216 × 134,216
  4. Step 4: Simplify right side
    64,192x = 18,013,934,656
  5. Step 5: Solve for x
    x = 18,013,934,656/64,192
  6. Step 6: Final answer
    x = 280,625.85

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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.