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Finding the Third Proportional to 70,052 and 150,472

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Solution

The third proportional to 70,052 and 150,472 is: 323,214.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,052 : 150,472 = 150,472 : x
  2. Step 2: Convert to fraction form
    70,052/150,472 = 150,472/x
  3. Step 3: Cross multiply
    70,052x = 150,472 × 150,472
  4. Step 4: Simplify right side
    70,052x = 22,641,822,784
  5. Step 5: Solve for x
    x = 22,641,822,784/70,052
  6. Step 6: Final answer
    x = 323,214.51

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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.