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Finding the Third Proportional to 67,246 and 143,324

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Solution

The third proportional to 67,246 and 143,324 is: 305,471.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,246 : 143,324 = 143,324 : x
  2. Step 2: Convert to fraction form
    67,246/143,324 = 143,324/x
  3. Step 3: Cross multiply
    67,246x = 143,324 × 143,324
  4. Step 4: Simplify right side
    67,246x = 20,541,768,976
  5. Step 5: Solve for x
    x = 20,541,768,976/67,246
  6. Step 6: Final answer
    x = 305,471.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.