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Finding the Third Proportional to 67,477 and 145,171

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Solution

The third proportional to 67,477 and 145,171 is: 312,323.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,477 : 145,171 = 145,171 : x
  2. Step 2: Convert to fraction form
    67,477/145,171 = 145,171/x
  3. Step 3: Cross multiply
    67,477x = 145,171 × 145,171
  4. Step 4: Simplify right side
    67,477x = 21,074,619,241
  5. Step 5: Solve for x
    x = 21,074,619,241/67,477
  6. Step 6: Final answer
    x = 312,323.00

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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.