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Finding the Third Proportional to 67,419 and 145,206

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Solution

The third proportional to 67,419 and 145,206 is: 312,742.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,419 : 145,206 = 145,206 : x
  2. Step 2: Convert to fraction form
    67,419/145,206 = 145,206/x
  3. Step 3: Cross multiply
    67,419x = 145,206 × 145,206
  4. Step 4: Simplify right side
    67,419x = 21,084,782,436
  5. Step 5: Solve for x
    x = 21,084,782,436/67,419
  6. Step 6: Final answer
    x = 312,742.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.