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Finding the Third Proportional to 70,413 and 145,474

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Solution

The third proportional to 70,413 and 145,474 is: 300,550.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,413 : 145,474 = 145,474 : x
  2. Step 2: Convert to fraction form
    70,413/145,474 = 145,474/x
  3. Step 3: Cross multiply
    70,413x = 145,474 × 145,474
  4. Step 4: Simplify right side
    70,413x = 21,162,684,676
  5. Step 5: Solve for x
    x = 21,162,684,676/70,413
  6. Step 6: Final answer
    x = 300,550.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.