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Finding the Third Proportional to 70,072 and 162,052

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Solution

The third proportional to 70,072 and 162,052 is: 374,769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,072 : 162,052 = 162,052 : x
  2. Step 2: Convert to fraction form
    70,072/162,052 = 162,052/x
  3. Step 3: Cross multiply
    70,072x = 162,052 × 162,052
  4. Step 4: Simplify right side
    70,072x = 26,260,850,704
  5. Step 5: Solve for x
    x = 26,260,850,704/70,072
  6. Step 6: Final answer
    x = 374,769.53

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.